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3840681720 = 233556956249
BaseRepresentation
bin1110010011101100…
…0010011011111000
3100220122220211212010
43210323002123320
530331203303340
61433035045520
7164114153541
oct34473023370
910818824763
103840681720
1116a0a68027
128b22a08a0
1349290c345
142861214c8
151772a4b80
hexe4ec26f8

3840681720 has 64 divisors (see below), whose sum is σ = 11542500000. Its totient is φ = 1022363648.

The previous prime is 3840681673. The next prime is 3840681721. The reversal of 3840681720 is 271860483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840681721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40156 + ... + 96404.

Almost surely, 23840681720 is an apocalyptic number.

3840681720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3840681720 is an abundant number, since it is smaller than the sum of its proper divisors (7701818280).

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

3840681720 is a wasteful number, since it uses less digits than its factorization.

3840681720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56832 (or 56828 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3840681720 is about 61973.2338998055. The cubic root of 3840681720 is about 1566.0397191637.

The spelling of 3840681720 in words is "three billion, eight hundred forty million, six hundred eighty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 569 1138 1707 2276 2845 3414 4552 5690 6828 8535 11380 13656 17070 22760 34140 56249 68280 112498 168747 224996 281245 337494 449992 562490 674988 843735 1124980 1349976 1687470 2249960 3374940 6749880 32005681 64011362 96017043 128022724 160028405 192034086 256045448 320056810 384068172 480085215 640113620 768136344 960170430 1280227240 1920340860 3840681720