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345424844232 = 2332131312817127
BaseRepresentation
bin1010000011011001110…
…11001101010111001000
31020000121020210012112100
411001230323031113020
521124412230003412
6422404101113400
733645643505466
oct5015473152710
91200536705470
10345424844232
11123548357086
1256b420b8860
132675ba6c670
1412a0bda1836
158eba56bedc
hex506cecd5c8

345424844232 has 96 divisors (see below), whose sum is σ = 1015180246080. Its totient is φ = 105473197440.

The previous prime is 345424844231. The next prime is 345424844251. The reversal of 345424844232 is 232448424543.

345424844232 is a `hidden beast` number, since 3 + 4 + 542 + 4 + 84 + 4 + 23 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (345424844231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285948 + ... + 1531179.

It is an arithmetic number, because the mean of its divisors is an integer number (10574794230).

Almost surely, 2345424844232 is an apocalyptic number.

It is an amenable number.

345424844232 is an abundant number, since it is smaller than the sum of its proper divisors (669755401848).

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

345424844232 is a wasteful number, since it uses less digits than its factorization.

345424844232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817283 (or 2817276 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 45.

The spelling of 345424844232 in words is "three hundred forty-five billion, four hundred twenty-four million, eight hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 131 156 234 262 312 393 468 524 786 936 1048 1179 1572 1703 2358 3144 3406 4716 5109 6812 9432 10218 13624 15327 20436 30654 40872 61308 122616 2817127 5634254 8451381 11268508 16902762 22537016 25354143 33805524 36622651 50708286 67611048 73245302 101416572 109867953 146490604 202833144 219735906 292981208 329603859 369043637 439471812 659207718 738087274 878943624 1107130911 1318415436 1476174548 2214261822 2636830872 2952349096 3321392733 4428523644 4797567281 6642785466 8857047288 9595134562 13285570932 14392701843 19190269124 26571141864 28785403686 38380538248 43178105529 57570807372 86356211058 115141614744 172712422116 345424844232