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103883934 = 23711713167
BaseRepresentation
bin1100011000100…
…10010010011110
321020110211222010
412030102102132
5203043241214
614150332050
72400666420
oct614222236
9236424863
10103883934
11537045a0
122a95a026
13186a35ab
14db22810
1591c0659
hex631249e

103883934 has 64 divisors (see below), whose sum is σ = 262766592. Its totient is φ = 26594400.

The previous prime is 103883933. The next prime is 103883977. The reversal of 103883934 is 439388301.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 103883892 and 103883901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103883933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31219 + ... + 34385.

It is an arithmetic number, because the mean of its divisors is an integer number (4105728).

Almost surely, 2103883934 is an apocalyptic number.

103883934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103883934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131383296).

103883934 is an abundant number, since it is smaller than the sum of its proper divisors (158882658).

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

103883934 is a wasteful number, since it uses less digits than its factorization.

103883934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 103883934 is about 10192.3468347579. The cubic root of 103883934 is about 470.0919301088.

The spelling of 103883934 in words is "one hundred three million, eight hundred eighty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 142 154 213 231 426 462 497 781 994 1491 1562 2343 2982 3167 4686 5467 6334 9501 10934 16401 19002 22169 32802 34837 44338 66507 69674 104511 133014 209022 224857 243859 449714 487718 674571 731577 1349142 1463154 1573999 2473427 3147998 4721997 4946854 7420281 9443994 14840562 17313989 34627978 51941967 103883934