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114341880 = 23352633623
BaseRepresentation
bin1101101000010…
…11011111111000
321222011011120110
412310023133320
5213232420010
615202424320
72555614152
oct664133770
9258134513
10114341880
11595a7824
12323620a0
131a8c5723
1411285ad2
15a089120
hex6d0b7f8

114341880 has 64 divisors (see below), whose sum is σ = 344424960. Its totient is φ = 30366848.

The previous prime is 114341873. The next prime is 114341911. The reversal of 114341880 is 88143411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29749 + ... + 33371.

It is an arithmetic number, because the mean of its divisors is an integer number (5381640).

Almost surely, 2114341880 is an apocalyptic number.

114341880 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 114341880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172212480).

114341880 is an abundant number, since it is smaller than the sum of its proper divisors (230083080).

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

114341880 is a wasteful number, since it uses less digits than its factorization.

114341880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 114341880 is about 10693.0762645742. The cubic root of 114341880 is about 485.3649854741.

The spelling of 114341880 in words is "one hundred fourteen million, three hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3623 3945 5260 6312 7246 7890 10520 10869 14492 15780 18115 21738 28984 31560 36230 43476 54345 72460 86952 108690 144920 217380 434760 952849 1905698 2858547 3811396 4764245 5717094 7622792 9528490 11434188 14292735 19056980 22868376 28585470 38113960 57170940 114341880