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293083642384 = 241322923592
BaseRepresentation
bin1000100001111010010…
…01010111101000010000
31001000111111120122201221
410100331021113220100
514300213403024014
6342350223334424
730113612566411
oct4207511275020
91030444518657
10293083642384
11103329091475
1248975151414
1321839c5cc00
1410284759808
1579553b7b24
hex443d257a10

293083642384 has 135 divisors (see below), whose sum is σ = 638603432103. Its totient is φ = 130241110272.

The previous prime is 293083642331. The next prime is 293083642393. The reversal of 293083642384 is 483246380392.

The square root of 293083642384 is 541372.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37581699600 + 255501942784 = 193860^2 + 505472^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 816388797 + ... + 816389155.

Almost surely, 2293083642384 is an apocalyptic number.

293083642384 is the 541372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293083642384

293083642384 is an abundant number, since it is smaller than the sum of its proper divisors (345519789719).

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

293083642384 is an equidigital number, since it uses as much as digits as its factorization.

293083642384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 52.

The spelling of 293083642384 in words is "two hundred ninety-three billion, eighty-three million, six hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 359 377 464 676 718 754 841 1352 1436 1508 1682 2704 2872 3016 3364 4667 4901 5744 6032 6728 9334 9802 10411 10933 13456 18668 19604 20822 21866 37336 39208 41644 43732 60671 74672 78416 83288 87464 121342 128881 135343 142129 166576 174928 242684 257762 270686 284258 301919 485368 515524 541372 568516 603838 970736 1031048 1082744 1137032 1207676 1675453 1759459 2062096 2165488 2274064 2415352 3350906 3518918 3737549 3924947 4830704 6701812 7037836 7475098 7849894 13403624 14075672 14950196 15699788 21780889 26807248 28151344 29900392 31399576 43561778 48588137 51024311 59800784 62799152 87123556 97176274 102048622 108388921 174247112 194352548 204097244 216777842 348494224 388705096 408194488 433555684 631645781 777410192 816388976 867111368 1263291562 1409055973 1734222736 2526583124 2818111946 5053166248 5636223892 10106332496 11272447784 18317727649 22544895568 36635455298 73270910596 146541821192 293083642384