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352714834404 = 22323141032
BaseRepresentation
bin1010010000111110111…
…00010100000111100100
31020201102022012002001100
411020133130110013210
521234324444200104
6430011315000100
734324413424242
oct5103734240744
91221368162040
10352714834404
11126649368649
1258437599030
132735117a20a
1413100247792
159295569139
hex521f7141e4

352714834404 has 135 divisors (see below), whose sum is σ = 930335721315. Its totient is φ = 112674328560.

The previous prime is 352714834391. The next prime is 352714834421. The reversal of 352714834404 is 404438417253.

The square root of 352714834404 is 593898.

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

352714834404 is a `hidden beast` number, since 3 + 527 + 1 + 4 + 83 + 4 + 40 + 4 = 666.

It is a super-2 number, since 2×3527148344042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 352714834404.

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, 3424415817 + ... + 3424415919.

Almost surely, 2352714834404 is an apocalyptic number.

352714834404 is the 593898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352714834404

352714834404 is an abundant number, since it is smaller than the sum of its proper divisors (577620886911).

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

352714834404 is an frugal number, since it uses more digits than its factorization.

352714834404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 352714834404 in words is "three hundred fifty-two billion, seven hundred fourteen million, eight hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 103 124 186 206 279 309 372 412 558 618 927 961 1116 1236 1854 1922 2883 3193 3708 3844 5766 6386 8649 9579 10609 11532 12772 17298 19158 21218 28737 29791 31827 34596 38316 42436 57474 59582 63654 89373 95481 98983 114948 119164 127308 178746 190962 197966 268119 296949 328879 357492 381924 395932 536238 593898 657758 890847 923521 986637 1072476 1187796 1315516 1781694 1847042 1973274 2770563 2959911 3068473 3563388 3694084 3946548 5541126 5919822 6136946 8311689 9205419 10195249 11082252 11839644 12273892 16623378 18410838 20390498 27616257 30585747 33246756 36821676 40780996 55232514 61171494 91757241 95122663 110465028 122342988 183514482 190245326 285367989 316052719 367028964 380490652 570735978 632105438 856103967 948158157 1141471956 1264210876 1712207934 1896316314 2844474471 3424415868 3792632628 5688948942 9797634289 11377897884 19595268578 29392902867 39190537156 58785805734 88178708601 117571611468 176357417202 352714834404