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2328788112 = 243721758243
BaseRepresentation
bin1000101011001110…
…0111110010010000
320000022000200201120
42022303213302100
514232132204422
61023030002240
7111465241500
oct21263476220
96008020646
102328788112
11a955a3a82
1254baa6380
132b1614641
14181403a00
15d96ab45c
hex8ace7c90

2328788112 has 120 divisors (see below), whose sum is σ = 7410034656. Its totient is φ = 626217984.

The previous prime is 2328788093. The next prime is 2328788117. The reversal of 2328788112 is 2118878232.

It is a hoax number, since the sum of its digits (42) 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 (42).

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

It is not an unprimeable number, because it can be changed into a prime (2328788117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10863 + ... + 69105.

Almost surely, 22328788112 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 2328788112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705017328).

2328788112 is an abundant number, since it is smaller than the sum of its proper divisors (5081246544).

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

2328788112 is a wasteful number, since it uses less digits than its factorization.

2328788112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58285 (or 58272 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 2328788112 is about 48257.5187095234. The cubic root of 2328788112 is about 1325.4906192136.

The spelling of 2328788112 in words is "two billion, three hundred twenty-eight million, seven hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5712 6664 9996 13328 19992 39984 58243 116486 174729 232972 349458 407701 465944 698916 815402 931888 990131 1223103 1397832 1630804 1980262 2446206 2795664 2853907 2970393 3261608 3960524 4892412 5707814 5940786 6523216 6930917 7921048 8561721 9784824 11415628 11881572 13861834 15842096 17123442 19569648 20792751 22831256 23763144 27723668 34246884 41585502 45662512 47526288 48516419 55447336 68493768 83171004 97032838 110894672 136987536 145549257 166342008 194065676 291098514 332684016 388131352 582197028 776262704 1164394056 2328788112