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8380368 = 2433191021
BaseRepresentation
bin11111111101111111010000
3120202202201000
4133331333100
54121132433
6455342000
7131142363
oct37757720
916682630
108380368
114804327
122981900
1319755c9
1411820da
15b08113
hex7fdfd0

8380368 has 80 divisors (see below), whose sum is σ = 25345600. Its totient is φ = 2643840.

The previous prime is 8380367. The next prime is 8380369. The reversal of 8380368 is 8630838.

It is an interprime number because it is at equal distance from previous prime (8380367) and next prime (8380369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8380367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7698 + ... + 8718.

It is an arithmetic number, because the mean of its divisors is an integer number (316820).

Almost surely, 28380368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8380368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672800).

8380368 is an abundant number, since it is smaller than the sum of its proper divisors (16965232).

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

8380368 is a wasteful number, since it uses less digits than its factorization.

8380368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8380368 is about 2894.8865262735. The cubic root of 8380368 is about 203.1207835969.

The spelling of 8380368 in words is "eight million, three hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1021 1026 1368 2042 2052 2736 3063 4084 4104 6126 8168 8208 9189 12252 16336 18378 19399 24504 27567 36756 38798 49008 55134 58197 73512 77596 110268 116394 147024 155192 174591 220536 232788 310384 349182 441072 465576 523773 698364 931152 1047546 1396728 2095092 2793456 4190184 8380368