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2381703456 = 2531117313037
BaseRepresentation
bin1000110111110101…
…1110100100100000
320010222121001221010
42031331132210200
514334204002311
61032200100520
7113010100566
oct21575364440
96128531833
102381703456
111012456070
12565764740
132bc5809b2
14188459a36
15de15eda6
hex8df5e920

2381703456 has 96 divisors (see below), whose sum is σ = 6860282688. Its totient is φ = 717501440.

The previous prime is 2381703437. The next prime is 2381703469. The reversal of 2381703456 is 6543071832.

2381703456 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 tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23817034562 = 11345022704644687872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176170 + ... + 189206.

It is an arithmetic number, because the mean of its divisors is an integer number (71461278).

Almost surely, 22381703456 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 2381703456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430141344).

2381703456 is an abundant number, since it is smaller than the sum of its proper divisors (4478579232).

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

2381703456 is a wasteful number, since it uses less digits than its factorization.

2381703456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13234 (or 13226 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2381703456 is about 48802.6992696101. The cubic root of 2381703456 is about 1335.4549092850.

The spelling of 2381703456 in words is "two billion, three hundred eighty-one million, seven hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 173 176 264 346 352 519 528 692 1038 1056 1384 1903 2076 2768 3806 4152 5536 5709 7612 8304 11418 13037 15224 16608 22836 26074 30448 39111 45672 52148 60896 78222 91344 104296 143407 156444 182688 208592 286814 312888 417184 430221 573628 625776 860442 1147256 1251552 1720884 2255401 2294512 3441768 4510802 4589024 6766203 6883536 9021604 13532406 13767072 18043208 24809411 27064812 36086416 49618822 54129624 72172832 74428233 99237644 108259248 148856466 198475288 216518496 297712932 396950576 595425864 793901152 1190851728 2381703456