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3238213632 = 2113527053
BaseRepresentation
bin1100000100000011…
…0011100000000000
322100200021022000020
43001000303200000
523112440314012
61253154053440
7143150235033
oct30100634000
98320238006
103238213632
111411983915
1276457a280
133c7b5b254
1422a0d501a
1513e44aa8c
hexc1033800

3238213632 has 48 divisors (see below), whose sum is σ = 8633144520. Its totient is φ = 1079402496.

The previous prime is 3238213613. The next prime is 3238213679. The reversal of 3238213632 is 2363128323.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×32382136323 (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3238213593 and 3238213602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 257383 + ... + 269670.

Almost surely, 23238213632 is an apocalyptic number.

3238213632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3238213632 is an abundant number, since it is smaller than the sum of its proper divisors (5394930888).

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

3238213632 is an equidigital number, since it uses as much as digits as its factorization.

3238213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527078 (or 527058 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3238213632 is about 56905.3040761580. The cubic root of 3238213632 is about 1479.4552463115.

The spelling of 3238213632 in words is "three billion, two hundred thirty-eight million, two hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 527053 1054106 1581159 2108212 3162318 4216424 6324636 8432848 12649272 16865696 25298544 33731392 50597088 67462784 101194176 134925568 202388352 269851136 404776704 539702272 809553408 1079404544 1619106816 3238213632