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34075513420 = 22513733178799
BaseRepresentation
bin11111101111000011…
…110001001001001100
310020221210002102202121
4133233003301021030
51024241312412140
623353140302324
72314265041114
oct375703611114
9106853072677
1034075513420
11134a6814643
12672b9a19a4
1332a08359c0
141913818044
15d4681864a
hex7ef0f124c

34075513420 has 48 divisors (see below), whose sum is σ = 77168649600. Its totient is φ = 12564493056.

The previous prime is 34075513397. The next prime is 34075513453. The reversal of 34075513420 is 2431557043.

It is a super-2 number, since 2×340755134202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 101181 + ... + 279979.

It is an arithmetic number, because the mean of its divisors is an integer number (1607680200).

Almost surely, 234075513420 is an apocalyptic number.

It is an amenable number.

34075513420 is an abundant number, since it is smaller than the sum of its proper divisors (43093136180).

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

34075513420 is a wasteful number, since it uses less digits than its factorization.

34075513420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179554 (or 179552 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The spelling of 34075513420 in words is "thirty-four billion, seventy-five million, five hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 733 1466 2932 3665 7330 9529 14660 19058 38116 47645 95290 178799 190580 357598 715196 893995 1787990 2324387 3575980 4648774 9297548 11621935 23243870 46487740 131059667 262119334 524238668 655298335 1310596670 1703775671 2621193340 3407551342 6815102684 8518878355 17037756710 34075513420