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10842345 = 3251714173
BaseRepresentation
bin101001010111…
…000011101001
3202101211220100
4221113003221
510233423340
61024220013
7161105223
oct51270351
922354810
1010842345
116136018
12376a609
1323280b7
141623413
15e42830
hexa570e9

10842345 has 24 divisors (see below), whose sum is σ = 19900296. Its totient is φ = 5442048.

The previous prime is 10842341. The next prime is 10842389. The reversal of 10842345 is 54324801.

10842345 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4247721 + 6594624 = 2061^2 + 2568^2 .

It is not a de Polignac number, because 10842345 - 22 = 10842341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10842341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6322 + ... + 7851.

It is an arithmetic number, because the mean of its divisors is an integer number (829179).

Almost surely, 210842345 is an apocalyptic number.

10842345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10842345 is a deficient number, since it is larger than the sum of its proper divisors (9057951).

10842345 is a wasteful number, since it uses less digits than its factorization.

10842345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14201 (or 14198 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 10842345 is about 3292.7716288865. The cubic root of 10842345 is about 221.3304026462.

The spelling of 10842345 in words is "ten million, eight hundred forty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 14173 42519 70865 127557 212595 240941 637785 722823 1204705 2168469 3614115 10842345