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2325672 = 23343797
BaseRepresentation
bin1000110111110010101000
311101011020000
420313302220
51043410142
6121503000
725524246
oct10676250
94334200
102325672
111349348
12941a60
1363574b
14447796
1530e14c
hex237ca8

2325672 has 80 divisors (see below), whose sum is σ = 6759060. Its totient is φ = 746496.

The previous prime is 2325671. The next prime is 2325677. The reversal of 2325672 is 2765232.

2325672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2232036 + 93636 = 1494^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2325671) 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 19 ways as a sum of consecutive naturals, for example, 23928 + ... + 24024.

22325672 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 2325672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379530).

2325672 is an abundant number, since it is smaller than the sum of its proper divisors (4433388).

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

2325672 is a wasteful number, since it uses less digits than its factorization.

2325672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2325672 is about 1525.0154097582. The cubic root of 2325672 is about 132.4899149794.

The spelling of 2325672 in words is "two million, three hundred twenty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 97 108 111 148 162 194 216 222 291 296 324 333 388 444 582 648 666 776 873 888 999 1164 1332 1746 1998 2328 2619 2664 2997 3492 3589 3996 5238 5994 6984 7178 7857 7992 10476 10767 11988 14356 15714 20952 21534 23976 28712 31428 32301 43068 62856 64602 86136 96903 129204 193806 258408 290709 387612 581418 775224 1162836 2325672