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352463076 = 2234721492
BaseRepresentation
bin10101000000100…
…010100011100100
3220120012222110000
4111000202203210
51210212304301
654550301300
711506613100
oct2500424344
9816188400
10352463076
11170a577a9
129a057830
1358039344
1434b4c900
1520e23786
hex150228e4

352463076 has 135 divisors (see below), whose sum is σ = 1079083929. Its totient is φ = 100027872.

The previous prime is 352463009. The next prime is 352463093. The reversal of 352463076 is 670364253.

The square root of 352463076 is 18774.

It is a perfect power (a square), and thus also a powerful number.

352463076 is a `hidden beast` number, since 3 + 524 + 63 + 0 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41293476 + 311169600 = 6426^2 + 17640^2 .

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 352463076.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2365450 + ... + 2365598.

Almost surely, 2352463076 is an apocalyptic number.

352463076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

352463076 is the 18774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352463076

352463076 is an abundant number, since it is smaller than the sum of its proper divisors (726620853).

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

352463076 is a wasteful number, since it uses less digits than its factorization.

352463076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The cubic root of 352463076 is about 706.3791563095.

Multiplying 352463076 by its sum of digits (36), we get a square (12688670736 = 1126442).

352463076 divided by its sum of digits (36) gives a square (9790641 = 31292).

The spelling of 352463076 in words is "three hundred fifty-two million, four hundred sixty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 149 162 189 196 252 294 298 324 378 441 447 567 588 596 756 882 894 1043 1134 1323 1341 1764 1788 2086 2268 2646 2682 3129 3969 4023 4172 5292 5364 6258 7301 7938 8046 9387 12069 12516 14602 15876 16092 18774 21903 22201 24138 28161 29204 37548 43806 44402 48276 56322 65709 66603 84483 87612 88804 112644 131418 133206 155407 168966 197127 199809 262836 266412 310814 337932 394254 399618 466221 591381 599427 621628 788508 799236 932442 1087849 1182762 1198854 1398663 1798281 1864884 2175698 2365524 2397708 2797326 3263547 3596562 4195989 4351396 5594652 6527094 7193124 8391978 9790641 12587967 13054188 16783956 19581282 25175934 29371923 39162564 50351868 58743846 88115769 117487692 176231538 352463076