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354312096 = 253171072029
BaseRepresentation
bin10101000111100…
…101111110100000
3220200200220211020
4111013211332200
51211200441341
655054045440
711531413605
oct2507457640
9820626736
10354312096
11171aaaa16
129a7a9880
1358535b38
14350b06ac
152118b566
hex151e5fa0

354312096 has 96 divisors (see below), whose sum is σ = 994472640. Its totient is φ = 110063616.

The previous prime is 354312089. The next prime is 354312107. The reversal of 354312096 is 690213453.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3543120962 = 251074122743826432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173610 + ... + 175638.

It is an arithmetic number, because the mean of its divisors is an integer number (10359090).

Almost surely, 2354312096 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 354312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497236320).

354312096 is an abundant number, since it is smaller than the sum of its proper divisors (640160544).

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

354312096 is a wasteful number, since it uses less digits than its factorization.

354312096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 354312096 is about 18823.1797526348. The cubic root of 354312096 is about 707.6122234132.

The spelling of 354312096 in words is "three hundred fifty-four million, three hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 107 136 204 214 272 321 408 428 544 642 816 856 1284 1632 1712 1819 2029 2568 3424 3638 4058 5136 5457 6087 7276 8116 10272 10914 12174 14552 16232 21828 24348 29104 32464 34493 43656 48696 58208 64928 68986 87312 97392 103479 137972 174624 194784 206958 217103 275944 413916 434206 551888 651309 827832 868412 1103776 1302618 1655664 1736824 2605236 3311328 3473648 3690751 5210472 6947296 7381502 10420944 11072253 14763004 20841888 22144506 29526008 44289012 59052016 88578024 118104032 177156048 354312096