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114067350 = 2325223103107
BaseRepresentation
bin1101100110010…
…00011110010110
321221122012222200
412303020132112
5213200123400
615152505330
72553361605
oct663103626
9257565880
10114067350
115942a541
123224b246
131a82a797
1411213a3c
15a032b00
hex6cc8796

114067350 has 144 divisors (see below), whose sum is σ = 325907712. Its totient is φ = 28543680.

The previous prime is 114067339. The next prime is 114067351. The reversal of 114067350 is 53760411.

It is a super-4 number, since 4×1140673504 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114067351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1065997 + ... + 1066103.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 2114067350 is an apocalyptic number.

114067350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114067350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162953856).

114067350 is an abundant number, since it is smaller than the sum of its proper divisors (211840362).

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

114067350 is a wasteful number, since it uses less digits than its factorization.

114067350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 114067350 is about 10680.2317390588. The cubic root of 114067350 is about 484.9762272685.

The spelling of 114067350 in words is "one hundred fourteen million, sixty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 103 107 115 138 150 206 207 214 225 230 309 321 345 414 450 515 535 575 618 642 690 927 963 1030 1035 1070 1150 1545 1605 1725 1854 1926 2070 2369 2461 2575 2675 3090 3210 3450 4635 4738 4815 4922 5150 5175 5350 7107 7383 7725 8025 9270 9630 10350 11021 11845 12305 14214 14766 15450 16050 21321 22042 22149 23175 23690 24075 24610 33063 35535 36915 42642 44298 46350 48150 55105 59225 61525 66126 71070 73830 99189 106605 110210 110745 118450 123050 165315 177675 184575 198378 213210 221490 253483 275525 330630 355350 369150 495945 506966 533025 551050 553725 760449 826575 991890 1066050 1107450 1267415 1520898 1653150 2281347 2479725 2534830 3802245 4562694 4959450 6337075 7604490 11406735 12674150 19011225 22813470 38022450 57033675 114067350