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2312496 = 243353101
BaseRepresentation
bin1000110100100100110000
311100111011000
420310210300
51042444441
6121322000
725440654
oct10644460
94314130
102312496
11133a45a
12936300
1362c754
14442a64
1530a2b6
hex234930

2312496 has 80 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 748800.

The previous prime is 2312477. The next prime is 2312521. The reversal of 2312496 is 6942132.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22846 + ... + 22946.

It is an arithmetic number, because the mean of its divisors is an integer number (85374).

22312496 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 2312496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

2312496 is an abundant number, since it is smaller than the sum of its proper divisors (4517424).

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

2312496 is a wasteful number, since it uses less digits than its factorization.

2312496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2312496 is about 1520.6893173821. The cubic root of 2312496 is about 132.2392355712.

It can be divided in two parts, 23124 and 96, that added together give a triangular number (23220 = T215).

The spelling of 2312496 in words is "two million, three hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 101 106 108 144 159 202 212 216 303 318 404 424 432 477 606 636 808 848 909 954 1212 1272 1431 1616 1818 1908 2424 2544 2727 2862 3636 3816 4848 5353 5454 5724 7272 7632 10706 10908 11448 14544 16059 21412 21816 22896 32118 42824 43632 48177 64236 85648 96354 128472 144531 192708 256944 289062 385416 578124 770832 1156248 2312496