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103414374 = 2337594637
BaseRepresentation
bin1100010100111…
…11101001100110
321012120222212000
412022133221212
5202433224444
614132310130
72364002430
oct612375146
9235528760
10103414374
1153413828
122a772346
131856a94b
14da3d650
15912b469
hex629fa66

103414374 has 64 divisors (see below), whose sum is σ = 267148800. Its totient is φ = 29039904.

The previous prime is 103414343. The next prime is 103414379. The reversal of 103414374 is 473414301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103414379) 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, 19984 + ... + 24620.

It is an arithmetic number, because the mean of its divisors is an integer number (4174200).

Almost surely, 2103414374 is an apocalyptic number.

103414374 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 103414374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133574400).

103414374 is an abundant number, since it is smaller than the sum of its proper divisors (163734426).

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

103414374 is a wasteful number, since it uses less digits than its factorization.

103414374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 103414374 is about 10169.2858156313. The cubic root of 103414374 is about 469.3825814628.

Adding to 103414374 its reverse (473414301), we get a palindrome (576828675).

The spelling of 103414374 in words is "one hundred three million, four hundred fourteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 826 1062 1239 1593 2478 3186 3717 4637 7434 9274 11151 13911 22302 27822 32459 41733 64918 83466 97377 125199 194754 250398 273583 292131 547166 584262 820749 876393 1641498 1752786 1915081 2462247 3830162 4924494 5745243 7386741 11490486 14773482 17235729 34471458 51707187 103414374