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2314004 = 227112683
BaseRepresentation
bin1000110100111100010100
311100120012212
420310330110
51043022004
6121332552
725445240
oct10647424
94316185
102314004
111340600
12937158
13630344
14443420
1530a96e
hex234f14

2314004 has 36 divisors (see below), whose sum is σ = 5094432. Its totient is φ = 900240.

The previous prime is 2314003. The next prime is 2314019. The reversal of 2314004 is 4004132.

It is a super-2 number, since 2×23140042 = 10709229024032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 2314004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3047 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (141512).

22314004 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 2314004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547216).

2314004 is an abundant number, since it is smaller than the sum of its proper divisors (2780428).

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

2314004 is a wasteful number, since it uses less digits than its factorization.

2314004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2314004 is about 1521.1850643495. The cubic root of 2314004 is about 132.2679741342.

Adding to 2314004 its reverse (4004132), we get a palindrome (6318136).

The spelling of 2314004 in words is "two million, three hundred fourteen thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 683 847 1366 1694 2732 3388 4781 7513 9562 15026 19124 30052 52591 82643 105182 165286 210364 330572 578501 1157002 2314004