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2393014368 = 253373971697
BaseRepresentation
bin1000111010100010…
…1000000001100000
320011202212201120210
42032220220001200
514400102424433
61033242334120
7113205200163
oct21650500140
96152781523
102393014368
111018881128
125694ba340
132c1a11144
14189b61ada
15e0146463
hex8ea28060

2393014368 has 96 divisors (see below), whose sum is σ = 6471499104. Its totient is φ = 773701632.

The previous prime is 2393014363. The next prime is 2393014381. The reversal of 2393014368 is 8634103932.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2393014363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409296 + ... + 1410992.

It is an arithmetic number, because the mean of its divisors is an integer number (67411449).

Almost surely, 22393014368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2393014368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235749552).

2393014368 is an abundant number, since it is smaller than the sum of its proper divisors (4078484736).

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

2393014368 is a wasteful number, since it uses less digits than its factorization.

2393014368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2393014368 is about 48918.4460914285. The cubic root of 2393014368 is about 1337.5656343952.

The spelling of 2393014368 in words is "two billion, three hundred ninety-three million, fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 397 444 592 794 888 1184 1191 1588 1697 1776 2382 3176 3394 3552 4764 5091 6352 6788 9528 10182 12704 13576 14689 19056 20364 27152 29378 38112 40728 44067 54304 58756 62789 81456 88134 117512 125578 162912 176268 188367 235024 251156 352536 376734 470048 502312 673709 705072 753468 1004624 1347418 1410144 1506936 2009248 2021127 2694836 3013872 4042254 5389672 6027744 8084508 10779344 16169016 21558688 24927233 32338032 49854466 64676064 74781699 99708932 149563398 199417864 299126796 398835728 598253592 797671456 1196507184 2393014368