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114320304 = 24327234931
BaseRepresentation
bin1101101000001…
…10001110110000
321222010001222100
412310012032300
5213231222204
615202140400
72555464230
oct664061660
9258101870
10114320304
115959259a
1232351700
131a8b8967
141127bcc0
15a082a39
hex6d063b0

114320304 has 120 divisors (see below), whose sum is σ = 381618432. Its totient is φ = 31236480.

The previous prime is 114320293. The next prime is 114320329. The reversal of 114320304 is 403023411.

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 23 ways as a sum of consecutive naturals, for example, 20719 + ... + 25649.

Almost surely, 2114320304 is an apocalyptic number.

114320304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190809216).

114320304 is an abundant number, since it is smaller than the sum of its proper divisors (267298128).

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

114320304 is a wasteful number, since it uses less digits than its factorization.

114320304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4966 counting only the distinct ones).

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

The square root of 114320304 is about 10692.0673398553. The cubic root of 114320304 is about 485.3344545386.

Adding to 114320304 its reverse (403023411), we get a palindrome (517343715).

The spelling of 114320304 in words is "one hundred fourteen million, three hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 4931 5796 7728 9862 11592 14793 19724 23184 29586 34517 39448 44379 59172 69034 78896 88758 103551 113413 118344 138068 177516 207102 226826 236688 276136 310653 340239 355032 414204 453652 552272 621306 680478 710064 793891 828408 907304 1020717 1242612 1360956 1587782 1656816 1814608 2041434 2381673 2485224 2721912 3175564 4082868 4763346 4970448 5443824 6351128 7145019 8165736 9526692 12702256 14290038 16331472 19053384 28580076 38106768 57160152 114320304