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2314872 = 233371531
BaseRepresentation
bin1000110101001001111000
311100121102000
420311021320
51043033442
6121341000
725450620
oct10651170
94317360
102314872
11134121a
12937760
13630861
14443880
1530ad4c
hex235278

2314872 has 64 divisors (see below), whose sum is σ = 7353600. Its totient is φ = 660960.

The previous prime is 2314859. The next prime is 2314877. The reversal of 2314872 is 2784132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314877) 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, 747 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (114900).

22314872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676800).

2314872 is an abundant number, since it is smaller than the sum of its proper divisors (5038728).

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

2314872 is a wasteful number, since it uses less digits than its factorization.

2314872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1543 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2314872 is about 1521.4703414789. The cubic root of 2314872 is about 132.2845102983.

It can be divided in two parts, 23148 and 72, that added together give a triangular number (23220 = T215).

The spelling of 2314872 in words is "two million, three hundred fourteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1531 3062 4593 6124 9186 10717 12248 13779 18372 21434 27558 32151 36744 41337 42868 55116 64302 82674 85736 96453 110232 128604 165348 192906 257208 289359 330696 385812 578718 771624 1157436 2314872