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354725136 = 243319231879
BaseRepresentation
bin10101001001001…
…010110100010000
3220201110220102000
4111021022310100
51211302201021
655110554000
711535054033
oct2511126420
9821426360
10354725136
11172262277
129a968900
135864bb3c
143517b01a
152121db26
hex1524ad10

354725136 has 160 divisors (see below), whose sum is σ = 1118976000. Its totient is φ = 107091072.

The previous prime is 354725093. The next prime is 354725141. The reversal of 354725136 is 631527453.

It is a super-2 number, since 2×3547251362 = 251659844220436992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 354725136.

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 31 ways as a sum of consecutive naturals, for example, 187845 + ... + 189723.

It is an arithmetic number, because the mean of its divisors is an integer number (6993600).

Almost surely, 2354725136 is an apocalyptic number.

354725136 is a gapful number since it is divisible by the number (36) 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 354725136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559488000).

354725136 is an abundant number, since it is smaller than the sum of its proper divisors (764250864).

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

354725136 is a wasteful number, since it uses less digits than its factorization.

354725136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1926 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 354725136 is about 18834.1481357666. The cubic root of 354725136 is about 707.8870833999.

The spelling of 354725136 in words is "three hundred fifty-four million, seven hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 27 36 38 46 48 54 57 69 72 76 92 108 114 138 144 152 171 184 207 216 228 276 304 342 368 414 432 437 456 513 552 621 684 828 874 912 1026 1104 1242 1311 1368 1656 1748 1879 2052 2484 2622 2736 3312 3496 3758 3933 4104 4968 5244 5637 6992 7516 7866 8208 9936 10488 11274 11799 15032 15732 16911 20976 22548 23598 30064 31464 33822 35701 43217 45096 47196 50733 62928 67644 71402 86434 90192 94392 101466 107103 129651 135288 142804 172868 188784 202932 214206 259302 270576 285608 321309 345736 388953 405864 428412 518604 571216 642618 691472 777906 811728 821123 856824 963927 1037208 1166859 1285236 1555812 1642246 1713648 1927854 2074416 2333718 2463369 2570472 3111624 3284492 3855708 4667436 4926738 5140944 6223248 6568984 7390107 7711416 9334872 9853476 13137968 14780214 15422832 18669744 19706952 22170321 29560428 39413904 44340642 59120856 88681284 118241712 177362568 354725136