Search a number
-
+
23857314 = 23132953199
BaseRepresentation
bin101101100000…
…0100010100010
31122220002002020
41123000202202
522101413224
62211202310
7406532565
oct133004242
948802066
1023857314
1112515398
127ba6396
134c34070
1432504dc
152163c79
hex16c08a2

23857314 has 64 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 6918912.

The previous prime is 23857297. The next prime is 23857319. The reversal of 23857314 is 41375832.

It is not an unprimeable number, because it can be changed into a prime (23857319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119787 + ... + 119985.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 223857314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23857314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

23857314 is an abundant number, since it is smaller than the sum of its proper divisors (30574686).

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

23857314 is a wasteful number, since it uses less digits than its factorization.

23857314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its digits is 20160, while the sum is 33.

The square root of 23857314 is about 4884.3949471762. The cubic root of 23857314 is about 287.8771418488.

The spelling of 23857314 in words is "twenty-three million, eight hundred fifty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 53 58 78 87 106 159 174 199 318 377 398 597 689 754 1131 1194 1378 1537 2067 2262 2587 3074 4134 4611 5174 5771 7761 9222 10547 11542 15522 17313 19981 21094 31641 34626 39962 59943 63282 75023 119886 137111 150046 225069 274222 305863 411333 450138 611726 822666 917589 1835178 3976219 7952438 11928657 23857314