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393240 = 233529113
BaseRepresentation
bin1100000000000011000
3201222102110
41200000120
5100040430
612232320
73225321
oct1400030
9658373
10393240
112494a1
1216b6a0
13109cb3
14a3448
157b7b0
hex60018

393240 has 64 divisors (see below), whose sum is σ = 1231200. Its totient is φ = 100352.

The previous prime is 393209. The next prime is 393241. The reversal of 393240 is 42393.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3424 + ... + 3536.

2393240 is an apocalyptic number.

393240 is a gapful number since it is divisible by the number (30) 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 393240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615600).

393240 is an abundant number, since it is smaller than the sum of its proper divisors (837960).

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

393240 is a wasteful number, since it uses less digits than its factorization.

393240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 393240 is about 627.0885104991. The cubic root of 393240 is about 73.2632020064.

The spelling of 393240 in words is "three hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 113 116 120 145 174 226 232 290 339 348 435 452 565 580 678 696 870 904 1130 1160 1356 1695 1740 2260 2712 3277 3390 3480 4520 6554 6780 9831 13108 13560 16385 19662 26216 32770 39324 49155 65540 78648 98310 131080 196620 393240