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34484393504 = 2511239340939
BaseRepresentation
bin100000000111011011…
…100001011000100000
310022000021110200210102
4200013123201120200
51031111001043004
623501504121532
72330361336251
oct400733413040
9108007420712
1034484393504
11136965a5270
1268249062a8
133337466192
141951c50b28
15d6c68311e
hex8076e1620

34484393504 has 48 divisors (see below), whose sum is σ = 74095832160. Its totient is φ = 15667791360.

The previous prime is 34484393479. The next prime is 34484393527. The reversal of 34484393504 is 40539348443.

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, 821867 + ... + 862805.

It is an arithmetic number, because the mean of its divisors is an integer number (1543663170).

Almost surely, 234484393504 is an apocalyptic number.

It is an amenable number.

34484393504 is an abundant number, since it is smaller than the sum of its proper divisors (39611438656).

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

34484393504 is a wasteful number, since it uses less digits than its factorization.

34484393504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43353 (or 43345 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 34484393504 in words is "thirty-four billion, four hundred eighty-four million, three hundred ninety-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 2393 4786 9572 19144 26323 38288 40939 52646 76576 81878 105292 163756 210584 327512 421168 450329 655024 842336 900658 1310048 1801316 3602632 7205264 14410528 97967027 195934054 391868108 783736216 1077637297 1567472432 2155274594 3134944864 4310549188 8621098376 17242196752 34484393504