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2400130312 = 2317194321601
BaseRepresentation
bin1000111100001111…
…0001010100001000
320012021021020211021
42033003301110020
514403413132222
61034055042224
7113322525316
oct21703612410
96167236737
102400130312
1110218a1478
1256b970374
132c3333068
1418aa950b6
15e0a9eac7
hex8f0f1508

2400130312 has 64 divisors (see below), whose sum is σ = 5132635200. Its totient is φ = 1045094400.

The previous prime is 2400130307. The next prime is 2400130321. The reversal of 2400130312 is 2130310042.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100312 + ... + 121912.

It is an arithmetic number, because the mean of its divisors is an integer number (80197425).

Almost surely, 22400130312 is an apocalyptic number.

It is an amenable number.

2400130312 is an abundant number, since it is smaller than the sum of its proper divisors (2732504888).

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

2400130312 is a wasteful number, since it uses less digits than its factorization.

2400130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21686 (or 21682 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2400130312 is about 48991.1248288912. The cubic root of 2400130312 is about 1338.8901317109.

Adding to 2400130312 its reverse (2130310042), we get a palindrome (4530440354).

The spelling of 2400130312 in words is "two billion, four hundred million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 17 19 34 38 43 68 76 86 136 152 172 323 344 646 731 817 1292 1462 1634 2584 2924 3268 5848 6536 13889 21601 27778 43202 55556 86404 111112 172808 367217 410419 734434 820838 928843 1468868 1641676 1857686 2937736 3283352 3715372 6977123 7430744 13954246 15790331 17648017 27908492 31580662 35296034 55816984 63161324 70592068 126322648 141184136 300016289 600032578 1200065156 2400130312