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2402834016 = 253114748413
BaseRepresentation
bin1000111100111000…
…0101011001100000
320012110100121121110
42033032011121200
514410111142031
61034233023320
7113354515662
oct21716053140
96173317543
102402834016
111023378840
12570854b40
132c3a6b89b
1418b19a532
15e0e35c46
hex8f385660

2402834016 has 96 divisors (see below), whose sum is σ = 7027388928. Its totient is φ = 712624640.

The previous prime is 2402834003. The next prime is 2402834017. The reversal of 2402834016 is 6104382042.

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

It is a super-2 number, since 2×24028340162 = 11547222616893376512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402834017) 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, 25426 + ... + 73838.

It is an arithmetic number, because the mean of its divisors is an integer number (73201968).

Almost surely, 22402834016 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 2402834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513694464).

2402834016 is an abundant number, since it is smaller than the sum of its proper divisors (4624554912).

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

2402834016 is a wasteful number, since it uses less digits than its factorization.

2402834016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48484 (or 48476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2402834016 is about 49018.7108765622. The cubic root of 2402834016 is about 1339.3926883377.

The spelling of 2402834016 in words is "two billion, four hundred two million, eight hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 12408 16544 24816 48413 49632 96826 145239 193652 290478 387304 532543 580956 774608 1065086 1161912 1549216 1597629 2130172 2275411 2323824 3195258 4260344 4550822 4647648 6390516 6826233 8520688 9101644 12781032 13652466 17041376 18203288 25029521 25562064 27304932 36406576 50059042 51124128 54609864 72813152 75088563 100118084 109219728 150177126 200236168 218439456 300354252 400472336 600708504 800944672 1201417008 2402834016