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343354368 = 2103722281
BaseRepresentation
bin10100011101110…
…010110000000000
3212221002012122110
4110131302300000
51200344314433
654023135320
711336315100
oct2435626000
9787065573
10343354368
111668a6245
1296ba4540
135619a386
143385b200
1520224963
hex14772c00

343354368 has 132 divisors (see below), whose sum is σ = 1065045912. Its totient is φ = 98058240.

The previous prime is 343354337. The next prime is 343354409. The reversal of 343354368 is 863453343.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149388 + ... + 151668.

Almost surely, 2343354368 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 343354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532522956).

343354368 is an abundant number, since it is smaller than the sum of its proper divisors (721691544).

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

343354368 is a wasteful number, since it uses less digits than its factorization.

343354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2293 counting only the distinct ones).

The product of its digits is 311040, while the sum is 39.

The square root of 343354368 is about 18529.8237444397. The cubic root of 343354368 is about 700.2409836955.

The spelling of 343354368 in words is "three hundred forty-three million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2281 2352 2688 3072 3136 3584 4562 4704 5376 6272 6843 7168 9124 9408 10752 12544 13686 15967 18248 18816 21504 25088 27372 31934 36496 37632 47901 50176 54744 63868 72992 75264 95802 109488 111769 127736 145984 150528 191604 218976 223538 255472 291968 335307 383208 437952 447076 510944 583936 670614 766416 875904 894152 1021888 1167872 1341228 1532832 1751808 1788304 2043776 2335744 2682456 3065664 3503616 3576608 4087552 5364912 6131328 7007232 7153216 8175104 10729824 12262656 14306432 16350208 21459648 24525312 28612864 42919296 49050624 57225728 85838592 114451456 171677184 343354368