Search a number
-
+
2314003104 = 253271147819
BaseRepresentation
bin1000100111101100…
…1110001010100000
312222021012112111200
42021323032022200
514214341044404
61021341041200
7111225462510
oct21173161240
95867175450
102314003104
11a88215866
12546b56200
132ab538b0a
1417d475840
15d823a839
hex89ece2a0

2314003104 has 72 divisors (see below), whose sum is σ = 7520516640. Its totient is φ = 661143168.

The previous prime is 2314003099. The next prime is 2314003117. The reversal of 2314003104 is 4013004132.

2314003104 is a `hidden beast` number, since 231 + 400 + 31 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23140031042 = 10709220730643269632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571894 + ... + 575925.

It is an arithmetic number, because the mean of its divisors is an integer number (104451620).

Almost surely, 22314003104 is an apocalyptic number.

2314003104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2314003104 is an abundant number, since it is smaller than the sum of its proper divisors (5206513536).

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

2314003104 is a wasteful number, since it uses less digits than its factorization.

2314003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147842 (or 1147831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2314003104 is about 48104.0861466051. The cubic root of 2314003104 is about 1322.6795706247.

Adding to 2314003104 its reverse (4013004132), we get a palindrome (6327007236).

The spelling of 2314003104 in words is "two billion, three hundred fourteen million, three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1147819 2295638 3443457 4591276 6886914 8034733 9182552 10330371 13773828 16069466 18365104 20660742 24104199 27547656 32138932 36730208 41321484 48208398 55095312 64277864 72312597 82642968 96416796 110190624 128555728 144625194 165285936 192833592 257111456 289250388 330571872 385667184 578500776 771334368 1157001552 2314003104