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34412531540 = 2253768368087
BaseRepresentation
bin100000000011001001…
…011000111101010100
310021211021020201201012
4200003021120331110
51030434102002130
623450415551352
72325526456202
oct400311307524
9107737221635
1034412531540
1113659a82312
12680482b558
1333255c4cca
1419464a6072
15d661da995
hex803258f54

34412531540 has 48 divisors (see below), whose sum is σ = 74329218432. Its totient is φ = 13373179776.

The previous prime is 34412531539. The next prime is 34412531561. The reversal of 34412531540 is 4513521443.

It is a junction number, because it is equal to n+sod(n) for n = 34412531497 and 34412531506.

It is a congruent number.

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, 471377 + ... + 539463.

It is an arithmetic number, because the mean of its divisors is an integer number (1548525384).

Almost surely, 234412531540 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 34412531540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37164609216).

34412531540 is an abundant number, since it is smaller than the sum of its proper divisors (39916686892).

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

34412531540 is a wasteful number, since it uses less digits than its factorization.

34412531540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68816 (or 68814 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 34412531540 in words is "thirty-four billion, four hundred twelve million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 683 740 1366 2732 3415 6830 13660 25271 50542 68087 101084 126355 136174 252710 272348 340435 505420 680870 1361740 2519219 5038438 10076876 12596095 25192190 46503421 50384380 93006842 186013684 232517105 465034210 930068420 1720626577 3441253154 6882506308 8603132885 17206265770 34412531540