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3403855872 = 2113417271
BaseRepresentation
bin1100101011100010…
…1011100000000000
322210012221210110000
43022320223200000
523432341341442
61321432240000
7150231204024
oct31270534000
98705853400
103403855872
11149742a32a
127abb40000
13423275c01
142440d2384
1514dc69d4c
hexcae2b800

3403855872 has 360 divisors, whose sum is σ = 10952421480. Its totient is φ = 1052835840.

The previous prime is 3403855849. The next prime is 3403855883. The reversal of 3403855872 is 2785583043.

3403855872 is a `hidden beast` number, since 34 + 0 + 38 + 5 + 587 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 47941597 + ... + 47941667.

It is an arithmetic number, because the mean of its divisors is an integer number (30423393).

Almost surely, 23403855872 is an apocalyptic number.

3403855872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476210740).

3403855872 is an abundant number, since it is smaller than the sum of its proper divisors (7548565608).

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

3403855872 is an equidigital number, since it uses as much as digits as its factorization.

3403855872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 3403855872 is about 58342.5734091324. The cubic root of 3403855872 is about 1504.2628181119.

The spelling of 3403855872 in words is "three billion, four hundred three million, eight hundred fifty-five thousand, eight hundred seventy-two".