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3345241644 = 2232733114093
BaseRepresentation
bin1100011101100100…
…0101011000101100
322122010122212211200
43013121011120230
523322340213034
61311540045500
7145620041043
oct30731053054
98563585750
103345241644
111467335618
12794393890
13414092934
1423a3d555a
15148a3ca99
hexc764562c

3345241644 has 72 divisors (see below), whose sum is σ = 8601526752. Its totient is φ = 1096001280.

The previous prime is 3345241607. The next prime is 3345241673. The reversal of 3345241644 is 4461425433.

3345241644 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 2 + 4 + 1 + 644 = 666.

It is a super-2 number, since 2×33452416442 = 22381283313503645472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3345241599 and 3345241608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815262 + ... + 819354.

Almost surely, 23345241644 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 3345241644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300763376).

3345241644 is an abundant number, since it is smaller than the sum of its proper divisors (5256285108).

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

3345241644 is a wasteful number, since it uses less digits than its factorization.

3345241644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4482 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3345241644 is about 57838.0639717479. The cubic root of 3345241644 is about 1495.5783333834.

The spelling of 3345241644 in words is "three billion, three hundred forty-five million, two hundred forty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 311 438 622 657 876 933 1244 1314 1866 2628 2799 3732 4093 5598 8186 11196 12279 16372 22703 24558 36837 45406 49116 68109 73674 90812 136218 147348 204327 272436 298789 408654 597578 817308 896367 1195156 1272923 1792734 2545846 2689101 3585468 3818769 5091692 5378202 7637538 10756404 11456307 15275076 22912614 45825228 92923379 185846758 278770137 371693516 557540274 836310411 1115080548 1672620822 3345241644