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2314040 = 235174183
BaseRepresentation
bin1000110100111100111000
311100120021012
420310330320
51043022130
6121333052
725445321
oct10647470
94316235
102314040
111340633
12937188
13630371
14443448
1530a995
hex234f38

2314040 has 64 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 839680.

The previous prime is 2314019. The next prime is 2314043. The reversal of 2314040 is 404132.

2314040 = 1292 + 1302 + ... + 2082.

2314040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23140402 = 10709562243200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27839 + ... + 27921.

22314040 is an apocalyptic number.

2314040 is a gapful number since it is divisible by the number (20) 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 2314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2314040 is an abundant number, since it is smaller than the sum of its proper divisors (3401320).

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

2314040 is a wasteful number, since it uses less digits than its factorization.

2314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

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

The square root of 2314040 is about 1521.1968971833. The cubic root of 2314040 is about 132.2686600481.

Adding to 2314040 its reverse (404132), we get a palindrome (2718172).

The spelling of 2314040 in words is "two million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 83 85 136 164 166 170 205 328 332 340 410 415 664 680 697 820 830 1394 1411 1640 1660 2788 2822 3320 3403 3485 5576 5644 6806 6970 7055 11288 13612 13940 14110 17015 27224 27880 28220 34030 56440 57851 68060 115702 136120 231404 289255 462808 578510 1157020 2314040