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103717340 = 225172967157
BaseRepresentation
bin1100010111010…
…01100111011100
321020011101102222
412023221213130
5203022423330
614143004512
72366403626
oct613514734
9236141388
10103717340
1153600411
122a899738
131864580c
14dabbc16
15918b0e5
hex62e99dc

103717340 has 96 divisors (see below), whose sum is σ = 243673920. Its totient is φ = 36900864.

The previous prime is 103717321. The next prime is 103717349. The reversal of 103717340 is 43717301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103717349) 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, 660542 + ... + 660698.

It is an arithmetic number, because the mean of its divisors is an integer number (2538270).

Almost surely, 2103717340 is an apocalyptic number.

103717340 is a gapful number since it is divisible by the number (10) 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 103717340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121836960).

103717340 is an abundant number, since it is smaller than the sum of its proper divisors (139956580).

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

103717340 is a wasteful number, since it uses less digits than its factorization.

103717340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 103717340 is about 10184.1710511951. The cubic root of 103717340 is about 469.8405072228.

The spelling of 103717340 in words is "one hundred three million, seven hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 67 68 85 116 134 145 157 170 268 290 314 335 340 493 580 628 670 785 986 1139 1340 1570 1943 1972 2278 2465 2669 3140 3886 4553 4556 4930 5338 5695 7772 9106 9715 9860 10519 10676 11390 13345 18212 19430 21038 22765 22780 26690 33031 38860 42076 45530 52595 53380 66062 77401 91060 105190 132124 154802 165155 178823 210380 305051 309604 330310 357646 387005 610102 660620 715292 774010 894115 1220204 1525255 1548020 1788230 3050510 3576460 5185867 6101020 10371734 20743468 25929335 51858670 103717340