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2385396 = 2233131699
BaseRepresentation
bin1001000110010111110100
311111012011000
421012113310
51102313041
6123043300
726163336
oct11062764
94435130
102385396
11138a202
12970530
136569a0
14461456
15321bb6
hex2465f4

2385396 has 48 divisors (see below), whose sum is σ = 6664000. Its totient is φ = 733536.

The previous prime is 2385349. The next prime is 2385433. The reversal of 2385396 is 6935832.

2385396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23853962 = 11380228153632, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 213 + 3 + 87 + 5 + 33 + 92 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 2385396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555 + ... + 2253.

22385396 is an apocalyptic number.

2385396 is a gapful number since it is divisible by the number (26) 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 2385396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332000).

2385396 is an abundant number, since it is smaller than the sum of its proper divisors (4278604).

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

2385396 is a wasteful number, since it uses less digits than its factorization.

2385396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1717 counting only the distinct ones).

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

The square root of 2385396 is about 1544.4727255604. The cubic root of 2385396 is about 133.6144706857.

The spelling of 2385396 in words is "two million, three hundred eighty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1699 3398 5097 6796 10194 15291 20388 22087 30582 44174 45873 61164 66261 88348 91746 132522 183492 198783 265044 397566 596349 795132 1192698 2385396