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34453531040 = 2551207117839
BaseRepresentation
bin100000000101100101…
…110010100110100000
310021221010101201110012
4200011211302212200
51031030100443130
623454442424052
72326535116235
oct400545624640
9107833351405
1034453531040
11136801358a5
126816502028
133330c4b776
14194bad978c
15d69ad8995
hex8059729a0

34453531040 has 48 divisors (see below), whose sum is σ = 81407773440. Its totient is φ = 13779498240.

The previous prime is 34453531039. The next prime is 34453531093. The reversal of 34453531040 is 4013535443.

It is a super-2 number, since 2×344535310402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 34453530988 and 34453531006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1922441 + ... + 1940279.

It is an arithmetic number, because the mean of its divisors is an integer number (1695995280).

Almost surely, 234453531040 is an apocalyptic number.

It is an amenable number.

34453531040 is an abundant number, since it is smaller than the sum of its proper divisors (46954242400).

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

34453531040 is a wasteful number, since it uses less digits than its factorization.

34453531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29925 (or 29917 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 34453531040 in words is "thirty-four billion, four hundred fifty-three million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12071 17839 24142 35678 48284 60355 71356 89195 96568 120710 142712 178390 193136 241420 285424 356780 386272 482840 570848 713560 965680 1427120 1931360 2854240 215334569 430669138 861338276 1076672845 1722676552 2153345690 3445353104 4306691380 6890706208 8613382760 17226765520 34453531040