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10342152 = 23323792
BaseRepresentation
bin100111011100…
…111100001000
3201110102202200
4213130330020
510121422102
61005400200
7153623022
oct47347410
921412680
1010342152
115924237
123569060
1321b1522
141533012
15d9451c
hex9dcf08

10342152 has 36 divisors (see below), whose sum is σ = 28084095. Its totient is φ = 3438288.

The previous prime is 10342151. The next prime is 10342153. The reversal of 10342152 is 25124301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10342152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10342151) and next prime (10342153).

It can be written as a sum of positive squares in only one way, i.e., 5171076 + 5171076 = 2274^2 + 2274^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2274.

It is a super-2 number, since 2×103421522 = 213920215982208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10342151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27099 + ... + 27477.

Almost surely, 210342152 is an apocalyptic number.

10342152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10342152 is an abundant number, since it is smaller than the sum of its proper divisors (17741943).

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

10342152 is an equidigital number, since it uses as much as digits as its factorization.

10342152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10342152 is about 3215.9216408364. The cubic root of 10342152 is about 217.8731130408.

Multiplying 10342152 by its sum of digits (18), we get a square (186158736 = 136442).

10342152 divided by its sum of digits (18) gives a square (574564 = 7582).

Adding to 10342152 its reverse (25124301), we get a palindrome (35466453).

The spelling of 10342152 in words is "ten million, three hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 379 758 1137 1516 2274 3032 3411 4548 6822 9096 13644 27288 143641 287282 430923 574564 861846 1149128 1292769 1723692 2585538 3447384 5171076 10342152