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2346004140 = 2235232277489
BaseRepresentation
bin1000101111010101…
…0010111010101100
320001111102100200020
42023311102322230
514301034113030
61024443002140
7112064464134
oct21365227254
96044370606
102346004140
11aa42926a7
12555809350
132b506183c
14183805ac4
15dae5c510
hex8bd52eac

2346004140 has 96 divisors (see below), whose sum is σ = 6885527040. Its totient is φ = 595685376.

The previous prime is 2346004123. The next prime is 2346004153. The reversal of 2346004140 is 414006432.

It is a self number, because there is not a number n which added to its sum of digits gives 2346004140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309516 + ... + 317004.

It is an arithmetic number, because the mean of its divisors is an integer number (71724240).

Almost surely, 22346004140 is an apocalyptic number.

2346004140 is a gapful number since it is divisible by the number (20) 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 2346004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442763520).

2346004140 is an abundant number, since it is smaller than the sum of its proper divisors (4539522900).

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

2346004140 is a wasteful number, since it uses less digits than its factorization.

2346004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7751 (or 7749 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2346004140 is about 48435.5668904577. The cubic root of 2346004140 is about 1328.7489205742.

The spelling of 2346004140 in words is "two billion, three hundred forty-six million, four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 227 230 276 345 454 460 681 690 908 1135 1362 1380 2270 2724 3405 4540 5221 6810 7489 10442 13620 14978 15663 20884 22467 26105 29956 31326 37445 44934 52210 62652 74890 78315 89868 104420 112335 149780 156630 172247 224670 313260 344494 449340 516741 688988 861235 1033482 1700003 1722470 2066964 2583705 3400006 3444940 5100009 5167410 6800012 8500015 10200018 10334820 17000030 20400036 25500045 34000060 39100069 51000090 78200138 102000180 117300207 156400276 195500345 234600414 391000690 469200828 586501035 782001380 1173002070 2346004140