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342647136 = 253213711289
BaseRepresentation
bin10100011011000…
…110000101100000
3212212202021111200
4110123012011200
51200204202021
654000041200
711330311146
oct2433060540
9785667450
10342647136
11166462957
1296903200
1355cb04b0
1433715596
1520135126
hex146c6160

342647136 has 144 divisors (see below), whose sum is σ = 1064962080. Its totient is φ = 103864320.

The previous prime is 342647131. The next prime is 342647141. The reversal of 342647136 is 631746243.

It is a happy number.

342647136 is a `hidden beast` number, since 3 + 4 + 2 + 647 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (342647131) and next prime (342647141).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342647136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342647131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265180 + ... + 266468.

It is an arithmetic number, because the mean of its divisors is an integer number (7395570).

Almost surely, 2342647136 is an apocalyptic number.

342647136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342647136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532481040).

342647136 is an abundant number, since it is smaller than the sum of its proper divisors (722314944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342647136 is a wasteful number, since it uses less digits than its factorization.

342647136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1378 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 342647136 is about 18510.7302935352. The cubic root of 342647136 is about 699.7598740999.

The spelling of 342647136 in words is "three hundred forty-two million, six hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 208 213 234 284 288 312 416 426 468 568 624 639 852 923 936 1136 1248 1278 1289 1704 1846 1872 2272 2556 2578 2769 3408 3692 3744 3867 5112 5156 5538 6816 7384 7734 8307 10224 10312 11076 11601 14768 15468 16614 16757 20448 20624 22152 23202 29536 30936 33228 33514 41248 44304 46404 50271 61872 66456 67028 88608 91519 92808 100542 123744 132912 134056 150813 183038 185616 201084 265824 268112 274557 301626 366076 371232 402168 536224 549114 603252 732152 804336 823671 1098228 1189747 1206504 1464304 1608672 1647342 2196456 2379494 2413008 2928608 3294684 3569241 4392912 4758988 4826016 6589368 7138482 8785824 9517976 10707723 13178736 14276964 19035952 21415446 26357472 28553928 38071904 42830892 57107856 85661784 114215712 171323568 342647136