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334097136 = 2434257791
BaseRepresentation
bin10011111010011…
…110101011110000
3212021122220010000
4103322132223300
51141012102021
653052510000
711164531062
oct2372365360
9767586100
10334097136
1116165313a
1293a7b300
13542a8919
143252b732
151e4e6b26
hex13e9eaf0

334097136 has 50 divisors (see below), whose sum is σ = 966977792. Its totient is φ = 111365280.

The previous prime is 334097131. The next prime is 334097177. The reversal of 334097136 is 631790433.

It is a super-2 number, since 2×3340971362 = 223241792566804992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 334097136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334097131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 127600 + ... + 130191.

Almost surely, 2334097136 is an apocalyptic number.

334097136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

334097136 is an abundant number, since it is smaller than the sum of its proper divisors (632880656).

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

334097136 is a wasteful number, since it uses less digits than its factorization.

334097136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257811 (or 257796 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 334097136 is about 18278.3242120278. The cubic root of 334097136 is about 693.8904615519.

The spelling of 334097136 in words is "three hundred thirty-four million, ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 257791 515582 773373 1031164 1546746 2062328 2320119 3093492 4124656 4640238 6186984 6960357 9280476 12373968 13920714 18560952 20881071 27841428 37121904 41762142 55682856 83524284 111365712 167048568 334097136