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3456480832 = 2677715359
BaseRepresentation
bin1100111000000101…
…1011011001000000
322220212222102022121
43032001123121000
524034324341312
61330552214024
7151440413410
oct31601333100
98825872277
103456480832
111514103232
1280569a314
1343114003c
1424b0b0640
151536b2707
hexce05b640

3456480832 has 28 divisors (see below), whose sum is σ = 7838805760. Its totient is φ = 1481348736.

The previous prime is 3456480823. The next prime is 3456480847. The reversal of 3456480832 is 2380846543.

It is a tau number, because it is divible by the number of its divisors (28).

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 3 ways as a sum of consecutive naturals, for example, 3857232 + ... + 3858127.

Almost surely, 23456480832 is an apocalyptic number.

3456480832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3456480832 is an abundant number, since it is smaller than the sum of its proper divisors (4382324928).

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

3456480832 is an equidigital number, since it uses as much as digits as its factorization.

3456480832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715378 (or 7715368 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The square root of 3456480832 is about 58791.8432437698. The cubic root of 3456480832 is about 1511.9753735619.

The spelling of 3456480832 in words is "three billion, four hundred fifty-six million, four hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 7715359 15430718 30861436 54007513 61722872 108015026 123445744 216030052 246891488 432060104 493782976 864120208 1728240416 3456480832