Search a number
-
+
114373364 = 22737532083
BaseRepresentation
bin1101101000100…
…11001011110100
321222012202202112
412310103023310
5213234421424
615203230152
72556105020
oct664231364
9258182675
10114373364
1159619446
1232378358
131a906b61
1411293380
15a09360e
hex6d132f4

114373364 has 48 divisors (see below), whose sum is σ = 239476608. Its totient is φ = 46770048.

The previous prime is 114373339. The next prime is 114373367. The reversal of 114373364 is 463373411.

It is a self number, because there is not a number n which added to its sum of digits gives 114373364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114373367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53867 + ... + 55949.

It is an arithmetic number, because the mean of its divisors is an integer number (4989096).

Almost surely, 2114373364 is an apocalyptic number.

114373364 is a gapful number since it is divisible by the number (14) 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 114373364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119738304).

114373364 is an abundant number, since it is smaller than the sum of its proper divisors (125103244).

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

114373364 is a wasteful number, since it uses less digits than its factorization.

114373364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2182 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 114373364 is about 10694.5483308086. The cubic root of 114373364 is about 485.4095297503.

The spelling of 114373364 in words is "one hundred fourteen million, three hundred seventy-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 53 74 106 148 212 259 371 518 742 1036 1484 1961 2083 3922 4166 7844 8332 13727 14581 27454 29162 54908 58324 77071 110399 154142 220798 308284 441596 539497 772793 1078994 1545586 2157988 3091172 4084763 8169526 16339052 28593341 57186682 114373364