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2304869940 = 2232541312313
BaseRepresentation
bin1000100101100001…
…1000011000110100
312221122000112011100
42021120120120310
514210021314230
61020413210100
7111055033302
oct21130303064
95848015140
102304869940
11a8304799a
12543a90930
132a968b989
1417c179272
15d7534660
hex89618634

2304869940 has 72 divisors (see below), whose sum is σ = 7161984648. Its totient is φ = 599639040.

The previous prime is 2304869909. The next prime is 2304870017. The reversal of 2304869940 is 499684032.

It can be written as a sum of positive squares in 4 ways, for example, as 37015056 + 2267854884 = 6084^2 + 47622^2 .

It is a super-3 number, since 3×23048699403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148777 + ... + 163536.

It is an arithmetic number, because the mean of its divisors is an integer number (99472009).

Almost surely, 22304869940 is an apocalyptic number.

2304869940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2304869940 is an abundant number, since it is smaller than the sum of its proper divisors (4857114708).

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

2304869940 is a wasteful number, since it uses less digits than its factorization.

2304869940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312369 (or 312364 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2304869940 is about 48009.0610197700. The cubic root of 2304869940 is about 1320.9371100404.

The spelling of 2304869940 in words is "two billion, three hundred four million, eight hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 312313 624626 936939 1249252 1561565 1873878 2810817 3123130 3747756 4684695 5621634 6246260 9369390 11243268 12804833 14054085 18738780 25609666 28108170 38414499 51219332 56216340 64024165 76828998 115243497 128048330 153657996 192072495 230486994 256096660 384144990 460973988 576217485 768289980 1152434970 2304869940