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345412364232 = 233137960723087
BaseRepresentation
bin1010000011011000010…
…11100110011111001000
31020000120101022011012010
411001230023212133020
521124401031123412
6422402533415520
733645432436605
oct5015413463710
91200511264163
10345412364232
11123541302731
1256b39a9a5a0
13267592c0050
1412a0a4736ac
158eb940433c
hex506c2e67c8

345412364232 has 128 divisors (see below), whose sum is σ = 943320268800. Its totient is φ = 104757988608.

The previous prime is 345412364203. The next prime is 345412364243. The reversal of 345412364232 is 232463214543.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14949793 + ... + 14972879.

It is an arithmetic number, because the mean of its divisors is an integer number (7369689600).

Almost surely, 2345412364232 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 345412364232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471660134400).

345412364232 is an abundant number, since it is smaller than the sum of its proper divisors (597907904568).

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

345412364232 is a wasteful number, since it uses less digits than its factorization.

345412364232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23795 (or 23791 counting only the distinct ones).

The product of its digits is 414720, while the sum is 39.

Adding to 345412364232 its reverse (232463214543), we get a palindrome (577875578775).

The spelling of 345412364232 in words is "three hundred forty-five billion, four hundred twelve million, three hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 607 632 948 1027 1214 1821 1896 2054 2428 3081 3642 4108 4856 6162 7284 7891 8216 12324 14568 15782 23087 23673 24648 31564 46174 47346 47953 63128 69261 92348 94692 95906 138522 143859 184696 189384 191812 277044 287718 300131 383624 554088 575436 600262 623389 900393 1150872 1200524 1246778 1800786 1823873 1870167 2401048 2493556 3601572 3647746 3740334 4987112 5471619 7203144 7295492 7480668 10943238 14013809 14590984 14961336 21886476 23710349 28027618 42041427 43772952 47420698 56055236 71131047 84082854 94841396 112110472 142262094 168165708 182179517 189682792 284524188 336331416 364359034 546538551 569048376 728718068 1093077102 1107090911 1457436136 2186154204 2214181822 3321272733 4372308408 4428363644 6642545466 8856727288 13285090932 14392181843 26570181864 28784363686 43176545529 57568727372 86353091058 115137454744 172706182116 345412364232