Search a number
-
+
3241049616 = 2432725712511
BaseRepresentation
bin1100000100101110…
…0111111000010000
322100212121101020200
43001023213320100
523114202041431
61253334535200
7143213316150
oct30113477020
98325541220
103241049616
111413540602
12765507500
133c861204c
1422a632760
1513e80aee6
hexc12e7e10

3241049616 has 120 divisors (see below), whose sum is σ = 10407381504. Its totient is φ = 922337280.

The previous prime is 3241049569. The next prime is 3241049629. The reversal of 3241049616 is 6169401423.

3241049616 is a `hidden beast` number, since 3 + 24 + 10 + 4 + 9 + 616 = 666.

It is a super-2 number, since 2×32410496162 = 21008805226747494912, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252801 + ... + 265311.

Almost surely, 23241049616 is an apocalyptic number.

3241049616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3241049616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203690752).

3241049616 is an abundant number, since it is smaller than the sum of its proper divisors (7166331888).

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

3241049616 is a wasteful number, since it uses less digits than its factorization.

3241049616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12789 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3241049616 is about 56930.2170731853. The cubic root of 3241049616 is about 1479.8870159671.

The spelling of 3241049616 in words is "three billion, two hundred forty-one million, forty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 257 336 504 514 771 1008 1028 1542 1799 2056 2313 3084 3598 4112 4626 5397 6168 7196 9252 10794 12336 12511 14392 16191 18504 21588 25022 28784 32382 37008 37533 43176 50044 64764 75066 86352 87577 100088 112599 129528 150132 175154 200176 225198 259056 262731 300264 350308 450396 525462 600528 700616 788193 900792 1050924 1401232 1576386 1801584 2101848 3152772 3215327 4203696 6305544 6430654 9645981 12611088 12861308 19291962 22507289 25722616 28937943 38583924 45014578 51445232 57875886 67521867 77167848 90029156 115751772 135043734 154335696 180058312 202565601 231503544 270087468 360116624 405131202 463007088 540174936 810262404 1080349872 1620524808 3241049616