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3382234072 = 23710325693
BaseRepresentation
bin1100100110011000…
…1100101111011000
322201201021021220121
43021212030233120
523411322442242
61315341003024
7146546341510
oct31146145730
98651237817
103382234072
111486201578
127a4853474
1341b945549
142412a4840
1514bde8667
hexc998cbd8

3382234072 has 48 divisors (see below), whose sum is σ = 7319978640. Its totient is φ = 1435203648.

The previous prime is 3382234067. The next prime is 3382234123. The reversal of 3382234072 is 2704322833.

3382234072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33822340722 = 22879014635595402368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591258 + ... + 596950.

It is an arithmetic number, because the mean of its divisors is an integer number (152499555).

Almost surely, 23382234072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382234072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659989320).

3382234072 is an abundant number, since it is smaller than the sum of its proper divisors (3937744568).

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

3382234072 is a wasteful number, since it uses less digits than its factorization.

3382234072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 3382234072 is about 58156.9778444513. The cubic root of 3382234072 is about 1501.0709495664.

The spelling of 3382234072 in words is "three billion, three hundred eighty-two million, two hundred thirty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 5693 5768 10609 11386 21218 22772 39851 42436 45544 74263 79702 84872 148526 159404 297052 318808 586379 594104 1172758 2345516 4104653 4691032 8209306 16418612 32837224 60397037 120794074 241588148 422779259 483176296 845558518 1691117036 3382234072