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3431225920 = 26530233547
BaseRepresentation
bin1100110010000100…
…0101101001000000
322212010110100002111
43030201011221000
524011343212140
61324251025104
7151012640053
oct31441055100
98763410074
103431225920
111500923901
127b913b194
13428b39ac5
142479b8a9a
151513747ea
hexcc845a40

3431225920 has 56 divisors (see below), whose sum is σ = 8175613824. Its totient is φ = 1371649536.

The previous prime is 3431225899. The next prime is 3431225939. The reversal of 3431225920 is 295221343.

It is a super-2 number, since 2×34312259202 = 23546622628159692800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965587 + ... + 969133.

It is an arithmetic number, because the mean of its divisors is an integer number (145993104).

Almost surely, 23431225920 is an apocalyptic number.

It is an amenable number.

3431225920 is an abundant number, since it is smaller than the sum of its proper divisors (4744387904).

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

3431225920 is a wasteful number, since it uses less digits than its factorization.

3431225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 3431225920 is about 58576.6670270680. The cubic root of 3431225920 is about 1508.2839326806.

The spelling of 3431225920 in words is "three billion, four hundred thirty-one million, two hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3023 3547 6046 7094 12092 14188 15115 17735 24184 28376 30230 35470 48368 56752 60460 70940 96736 113504 120920 141880 193472 227008 241840 283760 483680 567520 967360 1135040 10722581 21445162 42890324 53612905 85780648 107225810 171561296 214451620 343122592 428903240 686245184 857806480 1715612960 3431225920