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396380520 = 23335367019
BaseRepresentation
bin10111101000000…
…100100101101000
31000121212012212000
4113220010211220
51302433134040
6103155451000
712552115224
oct2750044550
91017765760
10396380520
11193823608
12b08b6a60
1364174cb3
143a901784
1524beb130
hex17a04968

396380520 has 64 divisors (see below), whose sum is σ = 1321272000. Its totient is φ = 105701184.

The previous prime is 396380507. The next prime is 396380533. The reversal of 396380520 is 25083693.

It is an interprime number because it is at equal distance from previous prime (396380507) and next prime (396380533).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182430 + ... + 184589.

It is an arithmetic number, because the mean of its divisors is an integer number (20644875).

Almost surely, 2396380520 is an apocalyptic number.

396380520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396380520 is an abundant number, since it is smaller than the sum of its proper divisors (924891480).

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

396380520 is a wasteful number, since it uses less digits than its factorization.

396380520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367039 (or 367029 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 396380520 is about 19909.3073711769. The cubic root of 396380520 is about 734.5771828888.

It can be divided in two parts, 396380 and 520, that added together give a square (396900 = 6302).

The spelling of 396380520 in words is "three hundred ninety-six million, three hundred eighty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 367019 734038 1101057 1468076 1835095 2202114 2936152 3303171 3670190 4404228 5505285 6606342 7340380 8808456 9909513 11010570 13212684 14680760 16515855 19819026 22021140 26425368 33031710 39638052 44042280 49547565 66063420 79276104 99095130 132126840 198190260 396380520