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334429368 = 233713211779
BaseRepresentation
bin10011111011101…
…111110010111000
3212022021202211220
4103323233302320
51141103214433
653103552040
711200413510
oct2373576270
9768252756
10334429368
1116185a809
1293bbb620
1354393c00
14325b6840
151e5602b3
hex13eefcb8

334429368 has 96 divisors (see below), whose sum is σ = 1034755200. Its totient is φ = 88193664.

The previous prime is 334429351. The next prime is 334429373. The reversal of 334429368 is 863924433.

It is a super-2 number, since 2×3344293682 = 223686004361758848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22503 + ... + 34281.

It is an arithmetic number, because the mean of its divisors is an integer number (10778700).

Almost surely, 2334429368 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 334429368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517377600).

334429368 is an abundant number, since it is smaller than the sum of its proper divisors (700325832).

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

334429368 is a wasteful number, since it uses less digits than its factorization.

334429368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11821 (or 11804 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 334429368 is about 18287.4100954728. The cubic root of 334429368 is about 694.1203909327.

The spelling of 334429368 in words is "three hundred thirty-four million, four hundred twenty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 2028 2184 2366 3549 4056 4732 7098 9464 11779 14196 23558 28392 35337 47116 70674 82453 94232 141348 153127 164906 247359 282696 306254 329812 459381 494718 612508 659624 918762 989436 1071889 1225016 1837524 1978872 1990651 2143778 3215667 3675048 3981302 4287556 5971953 6431334 7962604 8575112 11943906 12862668 13934557 15925208 23887812 25725336 27869114 41803671 47775624 55738228 83607342 111476456 167214684 334429368