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103358034 = 23213261557
BaseRepresentation
bin1100010100100…
…01111001010010
321012111010120100
412022101321102
5202424424114
614131153230
72363346243
oct612217122
9235433510
10103358034
115338546a
122a745816
131854b100
14da26cca
159119909
hex6291e52

103358034 has 72 divisors (see below), whose sum is σ = 246911652. Its totient is φ = 31224960.

The previous prime is 103358033. The next prime is 103358053. The reversal of 103358034 is 430853301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2295225 + 101062809 = 1515^2 + 10053^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103357989 and 103358007.

It is not an unprimeable number, because it can be changed into a prime (103358033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185284 + ... + 185840.

Almost surely, 2103358034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103358034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123455826).

103358034 is an abundant number, since it is smaller than the sum of its proper divisors (143553618).

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

103358034 is a wasteful number, since it uses less digits than its factorization.

103358034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 103358034 is about 10166.5153322070. The cubic root of 103358034 is about 469.2973263302.

The spelling of 103358034 in words is "one hundred three million, three hundred fifty-eight thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 169 183 234 338 366 507 549 557 793 1014 1098 1114 1521 1586 1671 2379 3042 3342 4758 5013 7137 7241 10026 10309 14274 14482 20618 21723 30927 33977 43446 61854 65169 67954 92781 94133 101931 130338 185562 188266 203862 282399 305793 441701 564798 611586 847197 883402 1325103 1694394 2650206 3975309 5742113 7950618 11484226 17226339 34452678 51679017 103358034