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386240 = 2651771
BaseRepresentation
bin1011110010011000000
3201121211012
41132103000
544324430
612140052
73166031
oct1362300
9647735
10386240
11244208
12167628
13106a5a
14a0a88
1579695
hex5e4c0

386240 has 56 divisors (see below), whose sum is σ = 987552. Its totient is φ = 143360.

The previous prime is 386237. The next prime is 386249. The reversal of 386240 is 42683.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (386249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5405 + ... + 5475.

2386240 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 386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493776).

386240 is an abundant number, since it is smaller than the sum of its proper divisors (601312).

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

386240 is a wasteful number, since it uses less digits than its factorization.

386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 386240 is about 621.4820995009. The cubic root of 386240 is about 72.8258813906.

It can be divided in two parts, 386 and 240, that added together give a palindrome (626).

The spelling of 386240 in words is "three hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 71 80 85 136 142 160 170 272 284 320 340 355 544 568 680 710 1088 1136 1207 1360 1420 2272 2414 2720 2840 4544 4828 5440 5680 6035 9656 11360 12070 19312 22720 24140 38624 48280 77248 96560 193120 386240