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114896034 = 23211271743
BaseRepresentation
bin1101101100100…
…10110010100010
322000012022201200
412312102302202
5213403133114
615222342030
72563412601
oct666226242
9260168650
10114896034
1159946100
123258a916
131aa5aa26
141138ba38
15a148409
hex6d92ca2

114896034 has 72 divisors (see below), whose sum is σ = 277857216. Its totient is φ = 34280400.

The previous prime is 114895993. The next prime is 114896053. The reversal of 114896034 is 430698411.

114896034 is a `hidden beast` number, since 1 + 1 + 48 + 9 + 603 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114896034.

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 35 ways as a sum of consecutive naturals, for example, 154267 + ... + 155009.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2114896034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114896034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608).

114896034 is an abundant number, since it is smaller than the sum of its proper divisors (162961182).

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

114896034 is a wasteful number, since it uses less digits than its factorization.

114896034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114896034 is about 10718.9567589388. The cubic root of 114896034 is about 486.1478237520.

The spelling of 114896034 in words is "one hundred fourteen million, eight hundred ninety-six thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 121 142 198 213 242 363 426 639 726 743 781 1089 1278 1486 1562 2178 2229 2343 4458 4686 6687 7029 8173 8591 13374 14058 16346 17182 24519 25773 49038 51546 52753 73557 77319 89903 105506 147114 154638 158259 179806 269709 316518 474777 539418 580283 809127 949554 1160566 1618254 1740849 3481698 5222547 6383113 10445094 12766226 19149339 38298678 57448017 114896034