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334052352 = 2103267541
BaseRepresentation
bin10011111010010…
…011110000000000
3212021120121200100
4103322103300000
51141004133402
653051522400
711164253364
oct2372236000
9767517610
10334052352
11161622527
1293a59400
135429141a
14325192a4
151e4d871c
hex13e93c00

334052352 has 132 divisors (see below), whose sum is σ = 980775016. Its totient is φ = 109486080.

The previous prime is 334052347. The next prime is 334052371. The reversal of 334052352 is 253250433.

334052352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340523522 = 223181947753463808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617202 + ... + 617742.

Almost surely, 2334052352 is an apocalyptic number.

334052352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490387508).

334052352 is an abundant number, since it is smaller than the sum of its proper divisors (646722664).

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

334052352 is a wasteful number, since it uses less digits than its factorization.

334052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 334052352 is about 18277.0991133714. The cubic root of 334052352 is about 693.8594560192.

The spelling of 334052352 in words is "three hundred thirty-four million, fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 541 576 603 768 804 1024 1072 1082 1152 1206 1536 1608 1623 2144 2164 2304 2412 3072 3216 3246 4288 4328 4608 4824 4869 6432 6492 8576 8656 9216 9648 9738 12864 12984 17152 17312 19296 19476 25728 25968 34304 34624 36247 38592 38952 51456 51936 68608 69248 72494 77184 77904 102912 103872 108741 138496 144988 154368 155808 205824 207744 217482 276992 289976 308736 311616 326223 415488 434964 553984 579952 617472 623232 652446 830976 869928 1159904 1246464 1304892 1661952 1739856 2319808 2492928 2609784 3479712 4639616 4985856 5219568 6959424 9279232 10439136 13918848 18558464 20878272 27837696 37116928 41756544 55675392 83513088 111350784 167026176 334052352