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3481034340840 = 233572592012643
BaseRepresentation
bin110010101001111101110…
…100001011100111101000
3110022210011021020200022220
4302221331310023213220
5424013124242401330
611223055354514040
7506332163455500
oct62517564134750
913283137220286
103481034340840
1111223311537a1
12482793435920
131c334c674c44
14c06a9360a00
156083a322710
hex32a7dd0b9e8

3481034340840 has 96 divisors (see below), whose sum is σ = 12148099454880. Its totient is φ = 795664990848.

The previous prime is 3481034340803. The next prime is 3481034340859. The reversal of 3481034340840 is 480434301843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3481034340792 and 3481034340801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296000442 + ... + 296012201.

It is an arithmetic number, because the mean of its divisors is an integer number (126542702655).

Almost surely, 23481034340840 is an apocalyptic number.

3481034340840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3481034340840 is an abundant number, since it is smaller than the sum of its proper divisors (8667065114040).

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

3481034340840 is a wasteful number, since it uses less digits than its factorization.

3481034340840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592012671 (or 592012660 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 3481034340840 in words is "three trillion, four hundred eighty-one billion, thirty-four million, three hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 592012643 1184025286 1776037929 2368050572 2960063215 3552075858 4144088501 4736101144 5920126430 7104151716 8288177002 8880189645 11840252860 12432265503 14208303432 16576354004 17760379290 20720442505 23680505720 24864531006 29008619507 33152708008 35520758580 41440885010 49729062012 58017239014 62161327515 71041517160 82881770020 87025858521 99458124024 116034478028 124322655030 145043097535 165763540040 174051717042 232068956056 248645310060 290086195070 348103434084 435129292605 497290620120 580172390140 696206868168 870258585210 1160344780280 1740517170420 3481034340840