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334007408 = 2474616469
BaseRepresentation
bin10011111010001…
…000110001110000
3212021111100000202
4103322020301300
51141001214113
653050534332
711164005350
oct2372106160
9767440022
10334007408
111615a1789
1293a373a8
1354276b27
1432506b60
151e4ca258
hex13e88c70

334007408 has 40 divisors (see below), whose sum is σ = 741306720. Its totient is φ = 142813440.

The previous prime is 334007383. The next prime is 334007417. The reversal of 334007408 is 804700433.

It is a super-2 number, since 2×3340074082 = 223121897197756928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 48398 + ... + 54866.

It is an arithmetic number, because the mean of its divisors is an integer number (18532668).

Almost surely, 2334007408 is an apocalyptic number.

It is an amenable number.

334007408 is an abundant number, since it is smaller than the sum of its proper divisors (407299312).

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

334007408 is a wasteful number, since it uses less digits than its factorization.

334007408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 334007408 is about 18275.8695552359. The cubic root of 334007408 is about 693.8283369268.

The spelling of 334007408 in words is "three hundred thirty-four million, seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 461 922 1844 3227 3688 6454 6469 7376 12908 12938 25816 25876 45283 51632 51752 90566 103504 181132 362264 724528 2982209 5964418 11928836 20875463 23857672 41750926 47715344 83501852 167003704 334007408