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34531307232 = 2532315639179
BaseRepresentation
bin100000001010001110…
…011110111011100000
310022010112202011022220
4200022032132323200
51031210003312412
623510301431040
72331501161052
oct401216367340
9108115664286
1034531307232
1113710028244
12683856b480
1333440b0896
1419581838d2
15d7184d68c
hex80a39eee0

34531307232 has 48 divisors (see below), whose sum is σ = 94585760640. Its totient is φ = 11009981312.

The previous prime is 34531307203. The next prime is 34531307281. The reversal of 34531307232 is 23270313543.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×345313072322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34531307193 and 34531307202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7817382 + ... + 7821797.

It is an arithmetic number, because the mean of its divisors is an integer number (1970536680).

Almost surely, 234531307232 is an apocalyptic number.

34531307232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34531307232 is an abundant number, since it is smaller than the sum of its proper divisors (60054453408).

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

34531307232 is a wasteful number, since it uses less digits than its factorization.

34531307232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15639215 (or 15639207 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The spelling of 34531307232 in words is "thirty-four billion, five hundred thirty-one million, three hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 15639179 31278358 46917537 62556716 93835074 125113432 187670148 250226864 359701117 375340296 500453728 719402234 750680592 1079103351 1438804468 1501361184 2158206702 2877608936 4316413404 5755217872 8632826808 11510435744 17265653616 34531307232