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3346346328 = 2331350321323
BaseRepresentation
bin1100011101110101…
…0011000101011000
322122012202000011220
43013131103011120
523323131040303
61312015452040
7145632321513
oct30735230530
98565660156
103346346328
111467a1a586
12794827020
1341438b6b0
1423a601d7a
15148baa053
hexc7753158

3346346328 has 64 divisors (see below), whose sum is σ = 9027728640. Its totient is φ = 1027549824.

The previous prime is 3346346327. The next prime is 3346346347. The reversal of 3346346328 is 8236436433.

It is a happy number.

3346346328 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-3 number, since 3×33463463283 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3346346328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346346321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146275 + ... + 167597.

It is an arithmetic number, because the mean of its divisors is an integer number (141058260).

Almost surely, 23346346328 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 3346346328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513864320).

3346346328 is an abundant number, since it is smaller than the sum of its proper divisors (5681382312).

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

3346346328 is a wasteful number, since it uses less digits than its factorization.

3346346328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21848 (or 21844 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The square root of 3346346328 is about 57847.6129844612. The cubic root of 3346346328 is about 1495.7429412857.

The spelling of 3346346328 in words is "three billion, three hundred forty-six million, three hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 503 1006 1509 2012 3018 4024 6036 6539 12072 13078 19617 21323 26156 39234 42646 52312 63969 78468 85292 127938 156936 170584 255876 277199 511752 554398 831597 1108796 1663194 2217592 3326388 6652776 10725469 21450938 32176407 42901876 64352814 85803752 128705628 139431097 257411256 278862194 418293291 557724388 836586582 1115448776 1673173164 3346346328