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3481300592 = 2471129139701
BaseRepresentation
bin1100111110000000…
…0110111001110000
322222121200101121222
43033200012321300
524112203104332
61333240204212
7152161365260
oct31740067160
98877611558
103481300592
111527115730
12811a69668
134363201a3
142504d17a0
15155966712
hexcf806e70

3481300592 has 160 divisors (see below), whose sum is σ = 8774438400. Its totient is φ = 1298304000.

The previous prime is 3481300591. The next prime is 3481300633. The reversal of 3481300592 is 2950031843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481300591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4965842 + ... + 4966542.

It is an arithmetic number, because the mean of its divisors is an integer number (54840240).

Almost surely, 23481300592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481300592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

3481300592 is an abundant number, since it is smaller than the sum of its proper divisors (5293137808).

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

3481300592 is a wasteful number, since it uses less digits than its factorization.

3481300592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3481300592 is about 59002.5473348397. The cubic root of 3481300592 is about 1515.5857316085.

The spelling of 3481300592 in words is "three billion, four hundred eighty-one million, three hundred thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 139 154 176 203 232 278 308 319 406 464 556 616 638 701 812 973 1112 1232 1276 1402 1529 1624 1946 2224 2233 2552 2804 3058 3248 3892 4031 4466 4907 5104 5608 6116 7711 7784 8062 8932 9814 10703 11216 12232 15422 15568 16124 17864 19628 20329 21406 24464 28217 30844 32248 35728 39256 40658 42812 44341 53977 56434 61688 64496 78512 81316 85624 88682 97439 107954 112868 123376 142303 162632 171248 177364 194878 215908 223619 225736 284606 310387 325264 354728 389756 431816 447238 451472 569212 620774 682073 709456 779512 863632 894476 1071829 1138424 1241548 1364146 1559024 1565333 1788952 2143658 2276848 2483096 2728292 2825731 3130666 3577904 4287316 4966192 5456584 5651462 6261332 7502803 8574632 10913168 11302924 12522664 15005606 17149264 19780117 22605848 25045328 30011212 31083041 39560234 45211696 60022424 62166082 79120468 120044848 124332164 158240936 217581287 248664328 316481872 435162574 497328656 870325148 1740650296 3481300592