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34212053832 = 23311181715973
BaseRepresentation
bin11111110111001100…
…101000001101001000
310021022022000101222220
4133313030220031020
51030031241210312
623414455014040
72320543442115
oct376714501510
9107268011886
1034212053832
11135668a3460
12676966a320
1332c2c01448
1419279db90c
15d537d9c8c
hex7f7328348

34212053832 has 64 divisors (see below), whose sum is σ = 93821232960. Its totient is φ = 10309996800.

The previous prime is 34212053819. The next prime is 34212053849. The reversal of 34212053832 is 23835021243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34212053793 and 34212053802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310203 + ... + 405770.

It is an arithmetic number, because the mean of its divisors is an integer number (1465956765).

Almost surely, 234212053832 is an apocalyptic number.

It is an amenable number.

34212053832 is an abundant number, since it is smaller than the sum of its proper divisors (59609179128).

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

34212053832 is a wasteful number, since it uses less digits than its factorization.

34212053832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716174 (or 716170 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 34212053832 in words is "thirty-four billion, two hundred twelve million, fifty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 181 264 362 543 724 1086 1448 1991 2172 3982 4344 5973 7964 11946 15928 23892 47784 715973 1431946 2147919 2863892 4295838 5727784 7875703 8591676 15751406 17183352 23627109 31502812 47254218 63005624 94508436 129591113 189016872 259182226 388773339 518364452 777546678 1036728904 1425502243 1555093356 2851004486 3110186712 4276506729 5702008972 8553013458 11404017944 17106026916 34212053832