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114626340 = 22345173409
BaseRepresentation
bin1101101010100…
…00111100100100
321222200121210000
412311100330210
5213321020330
615212501300
72561210403
oct665207444
9258617700
10114626340
1159781514
123247a830
131a99504a
141131b63a
15a0e3560
hex6d50f24

114626340 has 120 divisors (see below), whose sum is σ = 362549880. Its totient is φ = 30316032.

The previous prime is 114626329. The next prime is 114626353. The reversal of 114626340 is 43626411.

114626340 is a `hidden beast` number, since 1 + 1 + 4 + 626 + 34 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59629284 + 54997056 = 7722^2 + 7416^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 280056 + ... + 280464.

It is an arithmetic number, because the mean of its divisors is an integer number (3021249).

Almost surely, 2114626340 is an apocalyptic number.

114626340 is a gapful number since it is divisible by the number (10) 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 114626340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181274940).

114626340 is an abundant number, since it is smaller than the sum of its proper divisors (247923540).

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

114626340 is a wasteful number, since it uses less digits than its factorization.

114626340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

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

The square root of 114626340 is about 10706.3691324370. The cubic root of 114626340 is about 485.7671495436.

The spelling of 114626340 in words is "one hundred fourteen million, six hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 173 180 270 324 346 405 409 519 540 692 810 818 865 1038 1227 1557 1620 1636 1730 2045 2076 2454 2595 3114 3460 3681 4090 4671 4908 5190 6135 6228 7362 7785 8180 9342 10380 11043 12270 14013 14724 15570 18405 18684 22086 23355 24540 28026 31140 33129 36810 44172 46710 55215 56052 66258 70065 70757 73620 93420 110430 132516 140130 141514 165645 212271 220860 280260 283028 331290 353785 424542 636813 662580 707570 849084 1061355 1273626 1415140 1910439 2122710 2547252 3184065 3820878 4245420 5731317 6368130 7641756 9552195 11462634 12736260 19104390 22925268 28656585 38208780 57313170 114626340