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2345131320 = 233576741669
BaseRepresentation
bin1000101111000111…
…1101110100111000
320001102210000101120
42023301331310320
514300323200240
61024412145240
7112054200360
oct21361756470
96042700346
102345131320
11aa3846964
12555468220
132b4b1748c
141836599a0
15dad38ad0
hex8bc7dd38

2345131320 has 128 divisors (see below), whose sum is σ = 8160652800. Its totient is φ = 528016896.

The previous prime is 2345131319. The next prime is 2345131337. The reversal of 2345131320 is 231315432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35446 + ... + 77114.

It is an arithmetic number, because the mean of its divisors is an integer number (63755100).

Almost surely, 22345131320 is an apocalyptic number.

2345131320 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 2345131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080326400).

2345131320 is an abundant number, since it is smaller than the sum of its proper divisors (5815521480).

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

2345131320 is a wasteful number, since it uses less digits than its factorization.

2345131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41757 (or 41753 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2345131320 is about 48426.5559378323. Note that the first 3 decimals coincide. The cubic root of 2345131320 is about 1328.5841151688.

Adding to 2345131320 its reverse (231315432), we get a palindrome (2576446752).

The spelling of 2345131320 in words is "two billion, three hundred forty-five million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 41669 56280 83338 125007 166676 208345 250014 291683 333352 416690 500028 583366 625035 833380 875049 1000056 1166732 1250070 1458415 1666760 1750098 2333464 2500140 2791823 2916830 3500196 4375245 5000280 5583646 5833660 7000392 8375469 8750490 11167292 11667320 13959115 16750938 17500980 19542761 22334584 27918230 33501876 35001960 39085522 41877345 55836460 58628283 67003752 78171044 83754690 97713805 111672920 117256566 156342088 167509380 195427610 234513132 293141415 335018760 390855220 469026264 586282830 781710440 1172565660 2345131320