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114413364 = 223313194289
BaseRepresentation
bin1101101000111…
…00111100110100
321222021210122000
412310130330310
5213242211424
615204135300
72556332442
oct664347464
9258253560
10114413364
11596464aa
1232397530
131a91c120
14112a3b92
15a0a03c9
hex6d1cf34

114413364 has 96 divisors (see below), whose sum is σ = 336336000. Its totient is φ = 33343488.

The previous prime is 114413359. The next prime is 114413371. The reversal of 114413364 is 463314411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24532 + ... + 28820.

It is an arithmetic number, because the mean of its divisors is an integer number (3503500).

Almost surely, 2114413364 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 114413364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168168000).

114413364 is an abundant number, since it is smaller than the sum of its proper divisors (221922636).

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

114413364 is a wasteful number, since it uses less digits than its factorization.

114413364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4326 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 114413364 is about 10696.4182790315. The cubic root of 114413364 is about 485.4661108675.

Adding to 114413364 its reverse (463314411), we get a palindrome (577727775).

The spelling of 114413364 in words is "one hundred fourteen million, four hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4289 4446 6669 8578 8892 12867 13338 17156 25734 26676 38601 51468 55757 77202 81491 111514 115803 154404 162982 167271 223028 231606 244473 325964 334542 463212 488946 501813 669084 733419 977892 1003626 1059383 1466838 1505439 2007252 2118766 2200257 2933676 3010878 3178149 4237532 4400514 6021756 6356298 8801028 9534447 12712596 19068894 28603341 38137788 57206682 114413364