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334714368 = 293359607
BaseRepresentation
bin10011111100110…
…101011000000000
3212022211020210110
4103330311120000
51141141324433
653114031320
711203011432
oct2374653000
9768736713
10334714368
11161a3494a
1294118540
1354463851
143264c652
151e5b9963
hex13f35600

334714368 has 80 divisors (see below), whose sum is σ = 895656960. Its totient is φ = 111077376.

The previous prime is 334714361. The next prime is 334714397. The reversal of 334714368 is 863417433.

It is a super-2 number, since 2×3347143682 = 224067416291278848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334714361) 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 7 ways as a sum of consecutive naturals, for example, 551121 + ... + 551727.

It is an arithmetic number, because the mean of its divisors is an integer number (11195712).

Almost surely, 2334714368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447828480).

334714368 is an abundant number, since it is smaller than the sum of its proper divisors (560942592).

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

334714368 is an equidigital number, since it uses as much as digits as its factorization.

334714368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 971 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 334714368 is about 18295.2006821461. The cubic root of 334714368 is about 694.3175109245.

The spelling of 334714368 in words is "three hundred thirty-four million, seven hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 359 384 512 607 718 768 1077 1214 1436 1536 1821 2154 2428 2872 3642 4308 4856 5744 7284 8616 9712 11488 14568 17232 19424 22976 29136 34464 38848 45952 58272 68928 77696 91904 116544 137856 155392 183808 217913 233088 275712 310784 435826 466176 551424 653739 871652 932352 1307478 1743304 2614956 3486608 5229912 6973216 10459824 13946432 20919648 27892864 41839296 55785728 83678592 111571456 167357184 334714368