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29756342 = 27112331271
BaseRepresentation
bin111000110000…
…0101110110110
32001222210000202
41301200232312
530104200332
62541440502
7510632120
oct161405666
961883022
1029756342
1115884420
129b70132
13621b105
143d48210
15292ba62
hex1c60bb6

29756342 has 64 divisors (see below), whose sum is σ = 60162048. Its totient is φ = 10692000.

The previous prime is 29756339. The next prime is 29756347. The reversal of 29756342 is 24365792.

It is a junction number, because it is equal to n+sod(n) for n = 29756296 and 29756305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29756347) 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, 109667 + ... + 109937.

It is an arithmetic number, because the mean of its divisors is an integer number (940032).

Almost surely, 229756342 is an apocalyptic number.

29756342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

29756342 is an abundant number, since it is smaller than the sum of its proper divisors (30405706).

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

29756342 is a wasteful number, since it uses less digits than its factorization.

29756342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its digits is 90720, while the sum is 38.

The square root of 29756342 is about 5454.9373965244. The cubic root of 29756342 is about 309.8797382978.

The spelling of 29756342 in words is "twenty-nine million, seven hundred fifty-six thousand, three hundred forty-two".

Divisors: 1 2 7 11 14 22 23 31 46 62 77 154 161 217 253 271 322 341 434 506 542 682 713 1426 1771 1897 2387 2981 3542 3794 4774 4991 5962 6233 7843 8401 9982 12466 15686 16802 20867 41734 43631 54901 58807 68563 87262 92411 109802 117614 137126 184822 193223 386446 479941 646877 959882 1293754 1352561 2125453 2705122 4250906 14878171 29756342