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2154008034 = 2321131059001
BaseRepresentation
bin1000000001100011…
…1000110111100010
312120010010221112100
42000120320313202
513402411224114
6553423511230
7104243523543
oct20030706742
95503127470
102154008034
11a05977132
12501458516
1328434a689
141661084ca
15c9184909
hex80638de2

2154008034 has 24 divisors (see below), whose sum is σ = 4708322892. Its totient is φ = 711648000.

The previous prime is 2154007981. The next prime is 2154008041. The reversal of 2154008034 is 4308004512.

It can be written as a sum of positive squares in 2 ways, for example, as 1763748009 + 390260025 = 41997^2 + 19755^2 .

It is a super-2 number, since 2×21540080342 = 9279501221073090312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2154007989 and 2154008007.

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 11 ways as a sum of consecutive naturals, for example, 527467 + ... + 531534.

Almost surely, 22154008034 is an apocalyptic number.

2154008034 is an abundant number, since it is smaller than the sum of its proper divisors (2554314858).

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

2154008034 is a wasteful number, since it uses less digits than its factorization.

2154008034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059122 (or 1059119 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2154008034 is about 46411.2920957820. The cubic root of 2154008034 is about 1291.4644015291.

The spelling of 2154008034 in words is "two billion, one hundred fifty-four million, eight thousand, thirty-four".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 1059001 2118002 3177003 6354006 9531009 19062018 119667113 239334226 359001339 718002678 1077004017 2154008034