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342969524496 = 243237213192
BaseRepresentation
bin1001111110110101001…
…00111010000100010000
31012210021010200001001100
410333122210322010100
521104400144240441
6421320311104400
733531050600064
oct4773244720420
91183233601040
10342969524496
111224a83a0015
1256577972100
132645a185151
1412857c61aa4
158dc4c19cb6
hex4fda93a110

342969524496 has 135 divisors (see below), whose sum is σ = 987229489701. Its totient is φ = 111149027712.

The previous prime is 342969524449. The next prime is 342969524537. The reversal of 342969524496 is 694425969243.

The square root of 342969524496 is 585636.

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

342969524496 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 69 + 524 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306893840400 + 36075684096 = 553980^2 + 189936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 260021725 + ... + 260023043.

Almost surely, 2342969524496 is an apocalyptic number.

342969524496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

342969524496 is the 585636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342969524496

342969524496 is an abundant number, since it is smaller than the sum of its proper divisors (644259965205).

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

342969524496 is an equidigital number, since it uses as much as digits as its factorization.

342969524496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 1361 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 342969524496 in words is "three hundred forty-two billion, nine hundred sixty-nine million, five hundred twenty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1319 1332 1369 1776 2638 2664 2738 3957 4107 5276 5328 5476 7914 8214 10552 10952 11871 12321 15828 16428 21104 21904 23742 24642 31656 32856 47484 48803 49284 63312 65712 94968 97606 98568 146409 189936 195212 197136 292818 390424 439227 585636 780848 878454 1171272 1739761 1756908 1805711 2342544 3479522 3513816 3611422 5219283 5417133 6959044 7027632 7222844 10438566 10834266 13918088 14445688 15657849 16251399 20877132 21668532 27836176 28891376 31315698 32502798 41754264 43337064 62631396 64371157 65005596 83508528 86674128 125262792 128742314 130011192 193113471 250525584 257484628 260022384 386226942 514969256 579340413 772453884 1029938512 1158680826 1544907768 2317361652 2381732809 3089815536 4634723304 4763465618 7145198427 9269446608 9526931236 14290396854 19053862472 21435595281 28580793708 38107724944 42871190562 57161587416 85742381124 114323174832 171484762248 342969524496