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3321434048 = 2623109127163
BaseRepresentation
bin1100010111111001…
…0000111111000000
322120110212022221212
43011332100333000
523300241342143
61305325505252
7145210503122
oct30576207700
98513768855
103321434048
111454954619
12788412228
1340c1783ba
14237199212
151468d8918
hexc5f90fc0

3321434048 has 112 divisors (see below), whose sum is σ = 7038197760. Its totient is φ = 1551965184.

The previous prime is 3321434033. The next prime is 3321434063. The reversal of 3321434048 is 8404341233.

3321434048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3321434033) and next prime (3321434063).

It is a super-2 number, since 2×33214340482 = 22063848270427332608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20376815 + ... + 20376977.

Almost surely, 23321434048 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 3321434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519098880).

3321434048 is an abundant number, since it is smaller than the sum of its proper divisors (3716763712).

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

3321434048 is a wasteful number, since it uses less digits than its factorization.

3321434048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 3321434048 is about 57631.8839532424. The cubic root of 3321434048 is about 1492.0219457369.

The spelling of 3321434048 in words is "three billion, three hundred twenty-one million, four hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 109 127 163 184 218 254 326 368 436 508 652 736 872 1016 1304 1472 1744 2032 2507 2608 2921 3488 3749 4064 5014 5216 5842 6976 7498 8128 10028 10432 11684 13843 14996 17767 20056 20701 23368 27686 29992 35534 40112 41402 46736 55372 59984 71068 80224 82804 93472 110744 119968 142136 160448 165608 186944 221488 239936 284272 318389 331216 408641 442976 476123 568544 636778 662432 817282 885952 952246 1137088 1273556 1324864 1634564 1904492 2256409 2547112 3269128 3808984 4512818 5094224 6538256 7617968 9025636 10188448 13076512 15235936 18051272 20376896 26153024 30471872 36102544 51897407 72205088 103794814 144410176 207589628 415179256 830358512 1660717024 3321434048