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3346861656 = 2334325712619
BaseRepresentation
bin1100011101111101…
…0000111001011000
322122020201012002010
43013133100321120
523323244033111
61312034505520
7145636566105
oct30737207130
98566635063
103346861656
111468241776
12794a352a0
1341450c118
1423a6d7aac
15148c5caa6
hexc77d0e58

3346861656 has 64 divisors (see below), whose sum is σ = 8595734400. Its totient is φ = 1085349888.

The previous prime is 3346861631. The next prime is 3346861657. The reversal of 3346861656 is 6561686433.

It is a super-2 number, since 2×33468616562 = 22402965888806124672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346861657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258915 + ... + 271533.

It is an arithmetic number, because the mean of its divisors is an integer number (134308350).

Almost surely, 23346861656 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 3346861656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297867200).

3346861656 is an abundant number, since it is smaller than the sum of its proper divisors (5248872744).

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

3346861656 is a wasteful number, since it uses less digits than its factorization.

3346861656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928 (or 12924 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 3346861656 is about 57852.0669985092. The cubic root of 3346861656 is about 1495.8197174250.

The spelling of 3346861656 in words is "three billion, three hundred forty-six million, eight hundred sixty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 257 258 344 514 516 771 1028 1032 1542 2056 3084 6168 11051 12619 22102 25238 33153 37857 44204 50476 66306 75714 88408 100952 132612 151428 265224 302856 542617 1085234 1627851 2170468 3243083 3255702 4340936 6486166 6511404 9729249 12972332 13022808 19458498 25944664 38916996 77833992 139452569 278905138 418357707 557810276 836715414 1115620552 1673430828 3346861656