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2345472 = 2932509
BaseRepresentation
bin1000111100101000000000
311102011101100
420330220000
51100023342
6122134400
725636053
oct10745000
94364340
102345472
111362208
12951400
1364176c
14450a9a
15314e4c
hex23ca00

2345472 has 60 divisors (see below), whose sum is σ = 6782490. Its totient is φ = 780288.

The previous prime is 2345461. The next prime is 2345477. The reversal of 2345472 is 2745432.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 665856 = 1296^2 + 816^2 .

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 (2345477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4354 + ... + 4862.

22345472 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 2345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391245).

2345472 is an abundant number, since it is smaller than the sum of its proper divisors (4437018).

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

2345472 is an equidigital number, since it uses as much as digits as its factorization.

2345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 2345472 is about 1531.4933888202. The cubic root of 2345472 is about 132.8648447049.

The spelling of 2345472 in words is "two million, three hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 509 512 576 768 1018 1152 1527 1536 2036 2304 3054 4072 4581 4608 6108 8144 9162 12216 16288 18324 24432 32576 36648 48864 65152 73296 97728 130304 146592 195456 260608 293184 390912 586368 781824 1172736 2345472