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3238840032 = 25367503551
BaseRepresentation
bin1100000100001100…
…1100011011100000
322100201110010021020
43001003030123200
523113120340112
61253215325440
7143155454211
oct30103143340
98321403236
103238840032
1114122714aa
12764820880
133c801a3bc
1422a219408
1513e52148c
hexc10cc6e0

3238840032 has 48 divisors (see below), whose sum is σ = 8628867072. Its totient is φ = 1063497600.

The previous prime is 3238840021. The next prime is 3238840039. The reversal of 3238840032 is 2300488323.

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

It is a super-2 number, since 2×32388400322 = 20980169505771522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3238839975 and 3238840002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3238840039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245344 + ... + 258207.

It is an arithmetic number, because the mean of its divisors is an integer number (179768064).

Almost surely, 23238840032 is an apocalyptic number.

3238840032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3238840032 is an abundant number, since it is smaller than the sum of its proper divisors (5390027040).

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

3238840032 is a wasteful number, since it uses less digits than its factorization.

3238840032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503631 (or 503623 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3238840032 is about 56910.8076906311. The cubic root of 3238840032 is about 1479.5506354286.

The spelling of 3238840032 in words is "three billion, two hundred thirty-eight million, eight hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 503551 1007102 1510653 2014204 3021306 4028408 6042612 8056816 12085224 16113632 24170448 33737917 48340896 67475834 101213751 134951668 202427502 269903336 404855004 539806672 809710008 1079613344 1619420016 3238840032