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384696 = 233313137
BaseRepresentation
bin1011101111010111000
3201112201000
41131322320
544302241
612125000
73161364
oct1357270
9645630
10384696
11243034
12166760
13106140
14a02a4
1578eb6
hex5deb8

384696 has 64 divisors (see below), whose sum is σ = 1159200. Its totient is φ = 117504.

The previous prime is 384691. The next prime is 384697. The reversal of 384696 is 696483.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 384696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384691) 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, 2740 + ... + 2876.

2384696 is an apocalyptic number.

384696 is a gapful number since it is divisible by the number (36) 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 384696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579600).

384696 is an abundant number, since it is smaller than the sum of its proper divisors (774504).

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

384696 is a wasteful number, since it uses less digits than its factorization.

384696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 384696 is about 620.2386637416. The cubic root of 384696 is about 72.7287109564.

The spelling of 384696 in words is "three hundred eighty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 137 156 216 234 274 312 351 411 468 548 702 822 936 1096 1233 1404 1644 1781 2466 2808 3288 3562 3699 4932 5343 7124 7398 9864 10686 14248 14796 16029 21372 29592 32058 42744 48087 64116 96174 128232 192348 384696