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345324423584 = 2572457481909
BaseRepresentation
bin1010000011001101111…
…00001000100110100000
31020000100020211022022002
411001212330020212200
521124211023023314
6422350112503132
733643314112100
oct5014674104640
91200306738262
10345324423584
111234a66a8608
1256b1454aaa8
132674400c56a
14129dc901200
158eb1832ade
hex5066f089a0

345324423584 has 72 divisors (see below), whose sum is σ = 792586774980. Its totient is φ = 147672032256.

The previous prime is 345324423583. The next prime is 345324423601. The reversal of 345324423584 is 485324423543.

It can be written as a sum of positive squares in 2 ways, for example, as 340789747984 + 4534675600 = 583772^2 + 67340^2 .

It is not an unprimeable number, because it can be changed into a prime (345324423583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475622 + ... + 957530.

Almost surely, 2345324423584 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 345324423584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396293387490).

345324423584 is an abundant number, since it is smaller than the sum of its proper divisors (447262351396).

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

345324423584 is a wasteful number, since it uses less digits than its factorization.

345324423584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482390 (or 482375 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 47.

The spelling of 345324423584 in words is "three hundred forty-five billion, three hundred twenty-four million, four hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 457 784 914 1568 1828 3199 3656 6398 7312 12796 14624 22393 25592 44786 51184 89572 102368 179144 358288 481909 716576 963818 1927636 3373363 3855272 6746726 7710544 13493452 15421088 23613541 26986904 47227082 53973808 94454164 107947616 188908328 220232413 377816656 440464826 755633312 880929652 1541626891 1761859304 3083253782 3523718608 6166507564 7047437216 10791388237 12333015128 21582776474 24666030256 43165552948 49332060512 86331105896 172662211792 345324423584