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134842392 = 233219241409
BaseRepresentation
bin10000000100110…
…00100000011000
3100101201200222200
420002120200120
5234004424032
621214050200
73225066336
oct1002304030
9311650880
10134842392
116a12a0a3
12391a9960
1321c228c9
1413ca0b56
15bc8847c
hex8098818

134842392 has 96 divisors (see below), whose sum is σ = 386958000. Its totient is φ = 42301440.

The previous prime is 134842369. The next prime is 134842403. The reversal of 134842392 is 293248431.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329484 + ... + 329892.

Almost surely, 2134842392 is an apocalyptic number.

134842392 is a gapful number since it is divisible by the number (12) 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 134842392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193479000).

134842392 is an abundant number, since it is smaller than the sum of its proper divisors (252115608).

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

134842392 is a wasteful number, since it uses less digits than its factorization.

134842392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 134842392 is about 11612.1656894827. The cubic root of 134842392 is about 512.7930722720.

It can be divided in two parts, 13484 and 2392, that added together give a square (15876 = 1262).

The spelling of 134842392 in words is "one hundred thirty-four million, eight hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 241 342 409 456 482 684 723 818 964 1227 1368 1446 1636 1928 2169 2454 2892 3272 3681 4338 4579 4908 5784 7362 7771 8676 9158 9816 13737 14724 15542 17352 18316 23313 27474 29448 31084 36632 41211 46626 54948 62168 69939 82422 93252 98569 109896 139878 164844 186504 197138 279756 295707 329688 394276 559512 591414 788552 887121 1182828 1774242 1872811 2365656 3548484 3745622 5618433 7096968 7491244 11236866 14982488 16855299 22473732 33710598 44947464 67421196 134842392