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2327904 = 253259137
BaseRepresentation
bin1000111000010101100000
311101021021200
420320111200
51043443104
6121521200
725533615
oct10702540
94337250
102327904
11134aa97
12943200
13636777
1444850c
1530eb39
hex238560

2327904 has 72 divisors (see below), whose sum is σ = 6781320. Its totient is φ = 757248.

The previous prime is 2327887. The next prime is 2327909. The reversal of 2327904 is 4097232.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2327909) 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, 16924 + ... + 17060.

It is an arithmetic number, because the mean of its divisors is an integer number (94185).

22327904 is an apocalyptic number.

2327904 is a gapful number since it is divisible by the number (24) 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 2327904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390660).

2327904 is an abundant number, since it is smaller than the sum of its proper divisors (4453416).

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

2327904 is a wasteful number, since it uses less digits than its factorization.

2327904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2327904 is about 1525.7470301462. The cubic root of 2327904 is about 132.5322859498.

The spelling of 2327904 in words is "two million, three hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 137 144 177 236 274 288 354 411 472 531 548 708 822 944 1062 1096 1233 1416 1644 1888 2124 2192 2466 2832 3288 4248 4384 4932 5664 6576 8083 8496 9864 13152 16166 16992 19728 24249 32332 39456 48498 64664 72747 96996 129328 145494 193992 258656 290988 387984 581976 775968 1163952 2327904