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3323286464 = 261071493257
BaseRepresentation
bin1100011000010101…
…0101001111000000
322120121100102222212
43012011111033000
523301230131324
61305433321252
7145232316551
oct30605251700
98517312885
103323286464
1114559aa343
12788b66228
1340c6765c4
1423751c328
15146b5270e
hexc61553c0

3323286464 has 56 divisors (see below), whose sum is σ = 6703009200. Its totient is φ = 1634564096.

The previous prime is 3323286457. The next prime is 3323286467. The reversal of 3323286464 is 4646823233.

It is a happy number.

It is a super-2 number, since 2×33232864642 = 22088465843611246592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323286467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018724 + ... + 1021980.

Almost surely, 23323286464 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 3323286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351504600).

3323286464 is an abundant number, since it is smaller than the sum of its proper divisors (3379722736).

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

3323286464 is a wasteful number, since it uses less digits than its factorization.

3323286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3515 counting only the distinct ones).

The product of its digits is 497664, while the sum is 41.

The square root of 3323286464 is about 57647.9528170776. The cubic root of 3323286464 is about 1492.2992688881.

The spelling of 3323286464 in words is "three billion, three hundred twenty-three million, two hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 107 149 214 298 428 596 856 1192 1712 2384 3257 3424 4768 6514 6848 9536 13028 15943 26056 31886 52112 63772 104224 127544 208448 255088 348499 485293 510176 696998 970586 1020352 1393996 1941172 2787992 3882344 5575984 7764688 11151968 15529376 22303936 31058752 51926351 103852702 207705404 415410808 830821616 1661643232 3323286464