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3816350940 = 2235377323549
BaseRepresentation
bin1110001101111000…
…1110010011011100
3100211222010201022010
43203132032103130
530303441212230
61430405351220
7163400306403
oct34336162334
910758121263
103816350940
111689259a46
128a6108510
1348a87092c
14282bca63a
1517509a9b0
hexe378e4dc

3816350940 has 96 divisors (see below), whose sum is σ = 11125396800. Its totient is φ = 976582656.

The previous prime is 3816350899. The next prime is 3816350981. The reversal of 3816350940 is 490536183.

It is an interprime number because it is at equal distance from previous prime (3816350899) and next prime (3816350981).

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, 150286 + ... + 173834.

It is an arithmetic number, because the mean of its divisors is an integer number (115889550).

Almost surely, 23816350940 is an apocalyptic number.

3816350940 is a gapful number since it is divisible by the number (30) 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 3816350940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562698400).

3816350940 is an abundant number, since it is smaller than the sum of its proper divisors (7309045860).

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

3816350940 is a wasteful number, since it uses less digits than its factorization.

3816350940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23671 (or 23669 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3816350940 is about 61776.6213061219. The cubic root of 3816350940 is about 1562.7257490570.

The spelling of 3816350940 in words is "three billion, eight hundred sixteen million, three hundred fifty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 73 74 111 146 148 185 219 222 292 365 370 438 444 555 730 740 876 1095 1110 1460 2190 2220 2701 4380 5402 8103 10804 13505 16206 23549 27010 32412 40515 47098 54020 70647 81030 94196 117745 141294 162060 235490 282588 353235 470980 706470 871313 1412940 1719077 1742626 2613939 3438154 3485252 4356565 5157231 5227878 6876308 8595385 8713130 10314462 10455756 13069695 17190770 17426260 20628924 25786155 26139390 34381540 51572310 52278780 63605849 103144620 127211698 190817547 254423396 318029245 381635094 636058490 763270188 954087735 1272116980 1908175470 3816350940