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3328302432 = 2537131773307
BaseRepresentation
bin1100011001100001…
…1101110101100000
322120221210021121110
43012120131311200
523304021134212
61310133023320
7145323050430
oct30630356540
98527707543
103328302432
111458815974
1278a784b40
13410711730
142380662c0
151472e3a3c
hexc661dd60

3328302432 has 384 divisors, whose sum is σ = 11579065344. Its totient is φ = 812187648.

The previous prime is 3328302413. The next prime is 3328302443. The reversal of 3328302432 is 2342038233.

It is a super-2 number, since 2×33283024322 = 22155194157714229248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3328302432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10841223 + ... + 10841529.

It is an arithmetic number, because the mean of its divisors is an integer number (30153816).

Almost surely, 23328302432 is an apocalyptic number.

3328302432 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 3328302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789532672).

3328302432 is an abundant number, since it is smaller than the sum of its proper divisors (8250762912).

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

3328302432 is a wasteful number, since it uses less digits than its factorization.

3328302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3328302432 is about 57691.4415836526. The cubic root of 3328302432 is about 1493.0496869505.

The spelling of 3328302432 in words is "three billion, three hundred twenty-eight million, three hundred two thousand, four hundred thirty-two".