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3380583232 = 261331131071
BaseRepresentation
bin1100100101111111…
…1001101101000000
322201121011102101101
43021133321231000
523410412130412
61315241344144
7146526324535
oct31137715500
98647142341
103380583232
111485284244
127a4198054
1341b4b8010
14240d94d8c
1514bbbe457
hexc97f9b40

3380583232 has 56 divisors (see below), whose sum is σ = 7457472512. Its totient is φ = 1509926400.

The previous prime is 3380583203. The next prime is 3380583281. The reversal of 3380583232 is 2323850833.

It is a super-2 number, since 2×33805832322 = 22856685976959131648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3380583191 and 3380583200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39744 + ... + 91327.

It is an arithmetic number, because the mean of its divisors is an integer number (133169152).

Almost surely, 23380583232 is an apocalyptic number.

3380583232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3380583232 is an abundant number, since it is smaller than the sum of its proper divisors (4076889280).

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

3380583232 is a wasteful number, since it uses less digits than its factorization.

3380583232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131127 (or 131117 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 3380583232 is about 58142.7831463201. The cubic root of 3380583232 is about 1500.8266897871.

The spelling of 3380583232 in words is "three billion, three hundred eighty million, five hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 6448 12896 25792 131071 262142 524284 1048568 1703923 2097136 3407846 4063201 4194272 6815692 8126402 8388544 13631384 16252804 27262768 32505608 52821613 54525536 65011216 105643226 109051072 130022432 211286452 260044864 422572904 845145808 1690291616 3380583232