Search a number
-
+
3368412320 = 255713231347
BaseRepresentation
bin1100100011000101…
…1110010010100000
322200202021002000212
43020301132102200
523344303143240
61314124433252
7146321014040
oct31061362240
98622232025
103368412320
111479421039
127a00a8828
13418b162b0
1423d507720
1514aab8165
hexc8c5e4a0

3368412320 has 96 divisors (see below), whose sum is σ = 9794348928. Its totient is φ = 1066042368.

The previous prime is 3368412269. The next prime is 3368412329. The reversal of 3368412320 is 232148633.

It is a super-2 number, since 2×33684123202 = 22692403115055564800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3368412329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101114 + ... + 130233.

It is an arithmetic number, because the mean of its divisors is an integer number (102024468).

Almost surely, 23368412320 is an apocalyptic number.

It is an amenable number.

3368412320 is an abundant number, since it is smaller than the sum of its proper divisors (6425936608).

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

3368412320 is a wasteful number, since it uses less digits than its factorization.

3368412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231382 (or 231374 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 3368412320 is about 58038.0247768650. The cubic root of 3368412320 is about 1499.0234117290.

The spelling of 3368412320 in words is "three billion, three hundred sixty-eight million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 231347 462694 925388 1156735 1619429 1850776 2313470 3007511 3238858 3701552 4626940 6015022 6477716 7403104 8097145 9253880 12030044 12955432 15037555 16194290 18507760 21052577 24060088 25910864 30075110 32388580 37015520 42105154 48120176 51821728 60150220 64777160 84210308 96240352 105262885 120300440 129554320 168420616 210525770 240600880 259108640 336841232 421051540 481201760 673682464 842103080 1684206160 3368412320