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2347972 = 2211174373
BaseRepresentation
bin1000111101001111000100
311102021210221
420331033010
51100113342
6122154124
725646254
oct10751704
94367727
102347972
111364080
12952944
13642943
14451964
15315a67
hex23d3c4

2347972 has 48 divisors (see below), whose sum is σ = 4923072. Its totient is φ = 967680.

The previous prime is 2347957. The next prime is 2347981. The reversal of 2347972 is 2797432.

2347972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 217 + 3 + 45 + 73 + 93 + 76 + 221 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32128 + ... + 32200.

It is an arithmetic number, because the mean of its divisors is an integer number (102564).

22347972 is an apocalyptic number.

2347972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2347972 is an abundant number, since it is smaller than the sum of its proper divisors (2575100).

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

2347972 is a wasteful number, since it uses less digits than its factorization.

2347972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 2347972 is about 1532.3093682413. The cubic root of 2347972 is about 132.9120340931.

The spelling of 2347972 in words is "two million, three hundred forty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 17 22 34 43 44 68 73 86 146 172 187 292 374 473 731 748 803 946 1241 1462 1606 1892 2482 2924 3139 3212 4964 6278 8041 12556 13651 16082 27302 32164 34529 53363 54604 69058 106726 138116 213452 586993 1173986 2347972