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334361424 = 24310963907
BaseRepresentation
bin10011111011011…
…111001101010000
3212022011022122110
4103323133031100
51141044031144
653102305320
711200011435
oct2373371520
9768138573
10334361424
11161813761
1293b88240
135436bcc7
1432599b8c
151e54a0b9
hex13edf350

334361424 has 40 divisors (see below), whose sum is σ = 871705120. Its totient is φ = 110429568.

The previous prime is 334361393. The next prime is 334361429. The reversal of 334361424 is 424163433.

It is a super-2 number, since 2×3343614242 = 223595123718615552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334361391 and 334361400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334361429) 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 7 ways as a sum of consecutive naturals, for example, 26722 + ... + 37185.

It is an arithmetic number, because the mean of its divisors is an integer number (21792628).

Almost surely, 2334361424 is an apocalyptic number.

It is an amenable number.

334361424 is an abundant number, since it is smaller than the sum of its proper divisors (537343696).

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

334361424 is a wasteful number, since it uses less digits than its factorization.

334361424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64027 (or 64021 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 334361424 is about 18285.5523296399. The cubic root of 334361424 is about 694.0733809962.

The spelling of 334361424 in words is "three hundred thirty-four million, three hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 63907 127814 191721 255628 383442 511256 766884 1022512 1533768 3067536 6965863 13931726 20897589 27863452 41795178 55726904 83590356 111453808 167180712 334361424