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3790045432 = 232360134273
BaseRepresentation
bin1110000111100111…
…1000000011111000
3100210010122020221001
43201321320003320
530230222423212
61424025454344
7162630566065
oct34171700370
910703566831
103790045432
111675422258
128993413b4
13485290444
1427d4ddc6c
15172b01657
hexe1e780f8

3790045432 has 32 divisors (see below), whose sum is σ = 7427861280. Its totient is φ = 1809561600.

The previous prime is 3790045429. The next prime is 3790045451. The reversal of 3790045432 is 2345400973.

3790045432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3790045391 and 3790045400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93448 + ... + 127720.

It is an arithmetic number, because the mean of its divisors is an integer number (232120665).

Almost surely, 23790045432 is an apocalyptic number.

It is an amenable number.

3790045432 is a deficient number, since it is larger than the sum of its proper divisors (3637815848).

3790045432 is a wasteful number, since it uses less digits than its factorization.

3790045432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34903 (or 34899 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 3790045432 is about 61563.3448733904. The cubic root of 3790045432 is about 1559.1269265425.

The spelling of 3790045432 in words is "three billion, seven hundred ninety million, forty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 23 46 92 184 601 1202 2404 4808 13823 27646 34273 55292 68546 110584 137092 274184 788279 1576558 3153116 6306232 20598073 41196146 82392292 164784584 473755679 947511358 1895022716 3790045432