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114376374 = 2347172349
BaseRepresentation
bin1101101000100…
…11111010110110
321222012220220000
412310103322312
5213240020444
615203252130
72556116550
oct664237266
9258186800
10114376374
1159620732
123237a046
131a908338
14112944d0
15a094469
hex6d13eb6

114376374 has 120 divisors (see below), whose sum is σ = 312034800. Its totient is φ = 30668544.

The previous prime is 114376369. The next prime is 114376387. The reversal of 114376374 is 473673411.

114376374 is a `hidden beast` number, since 1 + 14 + 3 + 7 + 637 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (42336) is a multiple of the sum of its prime divisors (378).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 327552 + ... + 327900.

It is an arithmetic number, because the mean of its divisors is an integer number (2600290).

Almost surely, 2114376374 is an apocalyptic number.

114376374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114376374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156017400).

114376374 is an abundant number, since it is smaller than the sum of its proper divisors (197658426).

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

114376374 is a wasteful number, since it uses less digits than its factorization.

114376374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 378 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 114376374 is about 10694.6890557884. The cubic root of 114376374 is about 485.4137879383.

The spelling of 114376374 in words is "one hundred fourteen million, three hundred seventy-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 289 306 349 357 378 459 567 578 698 714 867 918 1047 1071 1134 1377 1734 2023 2094 2142 2443 2601 2754 3141 3213 4046 4886 5202 5933 6069 6282 6426 7329 7803 9423 9639 11866 12138 14658 15606 17799 18207 18846 19278 21987 23409 28269 35598 36414 41531 43974 46818 53397 54621 56538 65961 83062 100861 106794 109242 124593 131922 160191 163863 197883 201722 249186 302583 320382 327726 373779 395766 480573 605166 706027 747558 907749 961146 1121337 1412054 1815498 2118081 2242674 2723247 3364011 4236162 5446494 6354243 6728022 8169741 12708486 16339482 19062729 38125458 57188187 114376374