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3920342760 = 233353629947
BaseRepresentation
bin1110100110101011…
…1010111011101000
3101010012211001021000
43221222322323220
531012101432020
61445002315000
7166102235505
oct35152727350
911105731230
103920342760
111731a275a4
12914ab8a60
134a6281359
1429293a4ac
1517e28d090
hexe9abaee8

3920342760 has 64 divisors (see below), whose sum is σ = 13067812800. Its totient is φ = 1045424448.

The previous prime is 3920342759. The next prime is 3920342761. The reversal of 3920342760 is 672430293.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3920342759) and next prime (3920342761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3920342761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813894 + ... + 1816053.

It is an arithmetic number, because the mean of its divisors is an integer number (204184575).

Almost surely, 23920342760 is an apocalyptic number.

3920342760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3920342760 is an abundant number, since it is smaller than the sum of its proper divisors (9147470040).

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

3920342760 is a wasteful number, since it uses less digits than its factorization.

3920342760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629967 (or 3629957 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3920342760 is about 62612.6405768037. The cubic root of 3920342760 is about 1576.7929875583.

The spelling of 3920342760 in words is "three billion, nine hundred twenty million, three hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3629947 7259894 10889841 14519788 18149735 21779682 29039576 32669523 36299470 43559364 54449205 65339046 72598940 87118728 98008569 108898410 130678092 145197880 163347615 196017138 217796820 261356184 326695230 392034276 435593640 490042845 653390460 784068552 980085690 1306780920 1960171380 3920342760