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104133348 = 223211594457
BaseRepresentation
bin1100011010011…
…11001011100100
321020221112002200
412031033023210
5203124231343
614155534500
72403055524
oct615171344
9236845080
10104133348
1153864a20
122aa5a430
131875cc87
14db89684
15921e4d3
hex634f2e4

104133348 has 72 divisors (see below), whose sum is σ = 292088160. Its totient is φ = 31013760.

The previous prime is 104133311. The next prime is 104133349. The reversal of 104133348 is 843331401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104133349) 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, 21136 + ... + 25592.

It is an arithmetic number, because the mean of its divisors is an integer number (4056780).

Almost surely, 2104133348 is an apocalyptic number.

104133348 is a gapful number since it is divisible by the number (18) 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 104133348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146044080).

104133348 is an abundant number, since it is smaller than the sum of its proper divisors (187954812).

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

104133348 is a wasteful number, since it uses less digits than its factorization.

104133348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104133348 is about 10204.5748564063. The cubic root of 104133348 is about 470.4678425856.

Adding to 104133348 its reverse (843331401), we get a palindrome (947464749).

The spelling of 104133348 in words is "one hundred four million, one hundred thirty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1062 1298 1947 2124 2596 3894 4457 5841 7788 8914 11682 13371 17828 23364 26742 40113 49027 53484 80226 98054 147081 160452 196108 262963 294162 441243 525926 588324 788889 882486 1051852 1577778 1764972 2366667 2892593 3155556 4733334 5785186 8677779 9466668 11570372 17355558 26033337 34711116 52066674 104133348