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3680436440 = 235139661949
BaseRepresentation
bin1101101101011111…
…0000000011011000
3100111111101112122202
43123113300003120
530014142431230
61405112305332
7160130123252
oct33327600330
910444345582
103680436440
11161956840a
128686a2248
13468664055
1426cb2acd2
1516819ea45
hexdb5f00d8

3680436440 has 32 divisors (see below), whose sum is σ = 8340570000. Its totient is φ = 1461581184.

The previous prime is 3680436433. The next prime is 3680436451. The reversal of 3680436440 is 446340863.

3680436440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36804364402 = 27091224777759747200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3680436394 and 3680436403.

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, 325415 + ... + 336534.

Almost surely, 23680436440 is an apocalyptic number.

It is an amenable number.

3680436440 is an abundant number, since it is smaller than the sum of its proper divisors (4660133560).

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

3680436440 is a wasteful number, since it uses less digits than its factorization.

3680436440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662099 (or 662095 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The square root of 3680436440 is about 60666.6006959348. The cubic root of 3680436440 is about 1543.9495574006.

The spelling of 3680436440 in words is "three billion, six hundred eighty million, four hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 2780 5560 661949 1323898 2647796 3309745 5295592 6619490 13238980 26477960 92010911 184021822 368043644 460054555 736087288 920109110 1840218220 3680436440