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2345683116 = 223725375269
BaseRepresentation
bin1000101111010000…
…0100100010101100
320001110211001022110
42023310010202230
514300443324431
61024432044020
7112061656200
oct21364044254
96043731273
102345683116
11aa4093497
12555693610
132b4c7b69a
14183760b00
15dade7346
hex8bd048ac

2345683116 has 72 divisors (see below), whose sum is σ = 6487069680. Its totient is φ = 657541248.

The previous prime is 2345683073. The next prime is 2345683121. The reversal of 2345683116 is 6113865432.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6471 + ... + 68798.

It is an arithmetic number, because the mean of its divisors is an integer number (90098190).

Almost surely, 22345683116 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 2345683116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243534840).

2345683116 is an abundant number, since it is smaller than the sum of its proper divisors (4141386564).

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

2345683116 is a wasteful number, since it uses less digits than its factorization.

2345683116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75343 (or 75334 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 2345683116 is about 48432.2528486958. The cubic root of 2345683116 is about 1328.6883097475.

The spelling of 2345683116 in words is "two billion, three hundred forty-five million, six hundred eighty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 4452 5194 7791 10388 15582 31164 75269 150538 225807 301076 451614 526883 903228 1053766 1580649 2107532 3161298 3688181 3989257 6322596 7376362 7978514 11064543 11967771 14752724 15957028 22129086 23935542 27924799 44258172 47871084 55849598 83774397 111699196 167548794 195473593 335097588 390947186 586420779 781894372 1172841558 2345683116