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103414350 = 235213181293
BaseRepresentation
bin1100010100111…
…11101001001110
321012120222211010
412022133221032
5202433224400
614132310050
72364002364
oct612375116
9235528733
10103414350
1153413806
122a772326
131856a930
14da3d634
15912b450
hex629fa4e

103414350 has 96 divisors (see below), whose sum is σ = 278669664. Its totient is φ = 25228800.

The previous prime is 103414343. The next prime is 103414379. The reversal of 103414350 is 53414301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352804 + ... + 353096.

It is an arithmetic number, because the mean of its divisors is an integer number (2902809).

Almost surely, 2103414350 is an apocalyptic number.

103414350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103414350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139334832).

103414350 is an abundant number, since it is smaller than the sum of its proper divisors (175255314).

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

103414350 is a wasteful number, since it uses less digits than its factorization.

103414350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 103414350 is about 10169.2846356074. The cubic root of 103414350 is about 469.3825451520.

Adding to 103414350 its reverse (53414301), we get a palindrome (156828651).

The spelling of 103414350 in words is "one hundred three million, four hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 181 195 293 325 362 390 543 586 650 879 905 975 1086 1465 1758 1810 1950 2353 2715 2930 3809 4395 4525 4706 5430 7059 7325 7618 8790 9050 11427 11765 13575 14118 14650 19045 21975 22854 23530 27150 35295 38090 43950 53033 57135 58825 70590 95225 106066 114270 117650 159099 176475 190450 265165 285675 318198 352950 530330 571350 689429 795495 1325825 1378858 1590990 2068287 2651650 3447145 3977475 4136574 6894290 7954950 10341435 17235725 20682870 34471450 51707175 103414350