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2312928 = 25332677
BaseRepresentation
bin1000110100101011100000
311100111202000
420310223200
51043003203
6121324000
725442142
oct10645340
94314660
102312928
11133a812
12936600
1362c9c7
14442c92
1530a4a3
hex234ae0

2312928 has 48 divisors (see below), whose sum is σ = 6748560. Its totient is φ = 770688.

The previous prime is 2312923. The next prime is 2312929. The reversal of 2312928 is 8292132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct 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 Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475 + ... + 2202.

It is an arithmetic number, because the mean of its divisors is an integer number (140595).

22312928 is an apocalyptic number.

It is an amenable number.

2312928 is an abundant number, since it is smaller than the sum of its proper divisors (4435632).

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

2312928 is a wasteful number, since it uses less digits than its factorization.

2312928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2682 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2312928 is about 1520.8313515969. The cubic root of 2312928 is about 132.2474696457.

It can be divided in two parts, 2312 and 928, that added together give a triangular number (3240 = T80).

The spelling of 2312928 in words is "two million, three hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2677 5354 8031 10708 16062 21416 24093 32124 42832 48186 64248 72279 85664 96372 128496 144558 192744 256992 289116 385488 578232 770976 1156464 2312928