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2314720 = 255172337
BaseRepresentation
bin1000110101000111100000
311100121012101
420311013200
51043032340
6121340144
725450312
oct10650740
94317171
102314720
1113410a1
12937654
13630775
144437b2
1530ac9a
hex2351e0

2314720 has 96 divisors (see below), whose sum is σ = 6205248. Its totient is φ = 811008.

The previous prime is 2314717. The next prime is 2314721. The reversal of 2314720 is 274132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314721) 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, 62542 + ... + 62578.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

22314720 is an apocalyptic number.

2314720 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 2314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624).

2314720 is an abundant number, since it is smaller than the sum of its proper divisors (3890528).

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

2314720 is a wasteful number, since it uses less digits than its factorization.

2314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2314720 is about 1521.4203889787. The cubic root of 2314720 is about 132.2816148630.

Adding to 2314720 its reverse (274132), we get a palindrome (2588852).

The spelling of 2314720 in words is "two million, three hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 37 40 46 68 74 80 85 92 115 136 148 160 170 184 185 230 272 296 340 368 370 391 460 544 592 629 680 736 740 782 851 920 1184 1258 1360 1480 1564 1702 1840 1955 2516 2720 2960 3128 3145 3404 3680 3910 4255 5032 5920 6256 6290 6808 7820 8510 10064 12512 12580 13616 14467 15640 17020 20128 25160 27232 28934 31280 34040 50320 57868 62560 68080 72335 100640 115736 136160 144670 231472 289340 462944 578680 1157360 2314720