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114604424 = 2311347229
BaseRepresentation
bin1101101010010…
…11100110001000
321222122111201022
412311023212020
5213314320144
615212212012
72561056454
oct665134610
9258574638
10114604424
1159767000
123246a008
131a98808c
1411313664
15a0dbcee
hex6d4b988

114604424 has 64 divisors (see below), whose sum is σ = 242438400. Its totient is φ = 50761920.

The previous prime is 114604403. The next prime is 114604459. The reversal of 114604424 is 424406411.

It is a super-3 number, since 3×1146044243 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114604393 and 114604402.

It is a congruent 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, 500342 + ... + 500570.

It is an arithmetic number, because the mean of its divisors is an integer number (3788100).

Almost surely, 2114604424 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 114604424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121219200).

114604424 is an abundant number, since it is smaller than the sum of its proper divisors (127833976).

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

114604424 is a wasteful number, since it uses less digits than its factorization.

114604424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 114604424 is about 10705.3455805966. The cubic root of 114604424 is about 485.7361887964.

The spelling of 114604424 in words is "one hundred fourteen million, six hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 121 188 229 242 376 458 484 517 916 968 1034 1331 1832 2068 2519 2662 4136 5038 5324 5687 10076 10648 10763 11374 20152 21526 22748 27709 43052 45496 55418 62557 86104 110836 118393 125114 221672 236786 250228 304799 473572 500456 609598 947144 1219196 1302323 2438392 2604646 5209292 10418584 14325553 28651106 57302212 114604424