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2383294056 = 23311131740849
BaseRepresentation
bin1000111000001110…
…0010111001101000
320011002120212211020
42032003202321220
514340110402211
61032254132440
7113026444113
oct21603427150
96132525736
102383294056
111013342110
125661b1120
132bc9b9990
1418875157a
15de376306
hex8e0e2e68

2383294056 has 128 divisors (see below), whose sum is σ = 7411824000. Its totient is φ = 627425280.

The previous prime is 2383294033. The next prime is 2383294079. The reversal of 2383294056 is 6504923832.

It is an interprime number because it is at equal distance from previous prime (2383294033) and next prime (2383294079).

It is a super-2 number, since 2×23832940562 = 11360181114729862272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2383293999 and 2383294017.

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, 37920 + ... + 78768.

It is an arithmetic number, because the mean of its divisors is an integer number (57904875).

Almost surely, 22383294056 is an apocalyptic number.

2383294056 is a gapful number since it is divisible by the number (26) 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 2383294056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705912000).

2383294056 is an abundant number, since it is smaller than the sum of its proper divisors (5028529944).

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

2383294056 is a wasteful number, since it uses less digits than its factorization.

2383294056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40899 (or 40895 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2383294056 is about 48818.9927794501. The cubic root of 2383294056 is about 1335.7521337888.

The spelling of 2383294056 in words is "two billion, three hundred eighty-three million, two hundred ninety-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 858 884 1122 1144 1326 1496 1716 1768 2244 2431 2652 3432 4488 4862 5304 7293 9724 14586 19448 29172 40849 58344 81698 122547 163396 245094 326792 449339 490188 531037 694433 898678 980376 1062074 1348017 1388866 1593111 1797356 2083299 2124148 2696034 2777732 3186222 3594712 4166598 4248296 5392068 5555464 5841407 6372444 7638763 8333196 9027629 10784136 11682814 12744888 15277526 16666392 17524221 18055258 22916289 23365628 27082887 30555052 35048442 36110516 45832578 46731256 54165774 61110104 70096884 72221032 91665156 99303919 108331548 140193768 183330312 198607838 216663096 297911757 397215676 595823514 794431352 1191647028 2383294056