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2314790352 = 243371395507
BaseRepresentation
bin1000100111111000…
…1110010111010000
312222022200112102000
42021332032113100
514220041242402
61021405554000
7111235251630
oct21176162720
95868615360
102314790352
11a88703286
12547275900
132ab753244
1417d5dc6c0
15d8343c1c
hex89f8e5d0

2314790352 has 160 divisors (see below), whose sum is σ = 7649510400. Its totient is φ = 656491392.

The previous prime is 2314790347. The next prime is 2314790377. The reversal of 2314790352 is 2530974132.

2314790352 is a `hidden beast` number, since 231 + 4 + 79 + 0 + 352 = 666.

2314790352 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 417583 + ... + 423089.

It is an arithmetic number, because the mean of its divisors is an integer number (47809440).

Almost surely, 22314790352 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 2314790352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824755200).

2314790352 is an abundant number, since it is smaller than the sum of its proper divisors (5334720048).

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

2314790352 is a wasteful number, since it uses less digits than its factorization.

2314790352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2314790352 is about 48112.2682067682. The cubic root of 2314790352 is about 1322.8295500813.

The spelling of 2314790352 in words is "two billion, three hundred fourteen million, seven hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 139 144 168 189 216 252 278 336 378 417 432 504 556 756 834 973 1008 1112 1251 1512 1668 1946 2224 2502 2919 3024 3336 3753 3892 5004 5507 5838 6672 7506 7784 8757 10008 11014 11676 15012 15568 16521 17514 20016 22028 23352 26271 30024 33042 35028 38549 44056 46704 49563 52542 60048 66084 70056 77098 88112 99126 105084 115647 132168 140112 148689 154196 198252 210168 231294 264336 297378 308392 346941 396504 420336 462588 594756 616784 693882 765473 793008 925176 1040823 1189512 1387764 1530946 1850352 2081646 2296419 2379024 2775528 3061892 4163292 4592838 5358311 5551056 6123784 6889257 8326584 9185676 10716622 12247568 13778514 16074933 16653168 18371352 20667771 21433244 27557028 32149866 36742704 41335542 42866488 48224799 55114056 64299732 82671084 85732976 96449598 110228112 128599464 144674397 165342168 192899196 257198928 289348794 330684336 385798392 578697588 771596784 1157395176 2314790352