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342629784 = 23337415527
BaseRepresentation
bin10100011011000…
…001110110011000
3212212201101201000
4110123001312120
51200203123114
653555425000
711330206440
oct2433016630
9785641630
10342629784
11166450912
12968b5160
1355ca5623
143370d120
152012ee09
hex146c1d98

342629784 has 128 divisors (see below), whose sum is σ = 1114444800. Its totient is φ = 95489280.

The previous prime is 342629783. The next prime is 342629801. The reversal of 342629784 is 487926243.

342629784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342629783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59229 + ... + 64755.

It is an arithmetic number, because the mean of its divisors is an integer number (8706600).

Almost surely, 2342629784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342629784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557222400).

342629784 is an abundant number, since it is smaller than the sum of its proper divisors (771815016).

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

342629784 is a wasteful number, since it uses less digits than its factorization.

342629784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5580 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 342629784 is about 18510.2615864822. The cubic root of 342629784 is about 699.7480617163.

The spelling of 342629784 in words is "three hundred forty-two million, six hundred twenty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3444 4428 5166 5527 6888 7749 8856 10332 11054 15498 16581 20664 22108 30996 33162 38689 44216 49743 61992 66324 77378 99486 116067 132648 149229 154756 198972 226607 232134 298458 309512 348201 397944 453214 464268 596916 679821 696402 906428 928536 1044603 1193832 1359642 1392804 1586249 1812856 2039463 2089206 2719284 2785608 3172498 4078926 4178412 4758747 5438568 6118389 6344996 8157852 8356824 9517494 12236778 12689992 14276241 16315704 19034988 24473556 28552482 38069976 42828723 48947112 57104964 85657446 114209928 171314892 342629784