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10346140 = 2257671103
BaseRepresentation
bin100111011101…
…111010011100
3201110122020101
4213131322130
510122034030
61005430444
7153640450
oct47357234
921418211
1010346140
115927232
12356b424
1321b329c
141534660
15d957ca
hex9dde9c

10346140 has 48 divisors (see below), whose sum is σ = 25224192. Its totient is φ = 3491136.

The previous prime is 10346129. The next prime is 10346213. The reversal of 10346140 is 4164301.

It is a happy number.

It is a super-2 number, since 2×103461402 = 214085225799200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8829 + ... + 9931.

It is an arithmetic number, because the mean of its divisors is an integer number (525504).

Almost surely, 210346140 is an apocalyptic number.

10346140 is a gapful number since it is divisible by the number (10) 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 10346140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612096).

10346140 is an abundant number, since it is smaller than the sum of its proper divisors (14878052).

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

10346140 is a wasteful number, since it uses less digits than its factorization.

10346140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10346140 is about 3216.5416210582. The cubic root of 10346140 is about 217.9011138642.

The spelling of 10346140 in words is "ten million, three hundred forty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1103 1340 1876 2206 2345 4412 4690 5515 7721 9380 11030 15442 22060 30884 38605 73901 77210 147802 154420 295604 369505 517307 739010 1034614 1478020 2069228 2586535 5173070 10346140