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3438396 = 2233133179
BaseRepresentation
bin1101000111011100111100
320110200121000
431013130330
51340012041
6201410300
741140323
oct15073474
96420530
103438396
111a39355
121199990
13935070
146570ba
1547dbb6
hex34773c

3438396 has 96 divisors (see below), whose sum is σ = 10035200. Its totient is φ = 1010880.

The previous prime is 3438389. The next prime is 3438397. The reversal of 3438396 is 6938343.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3438396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43485 + ... + 43563.

Almost surely, 23438396 is an apocalyptic number.

3438396 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 3438396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017600).

3438396 is an abundant number, since it is smaller than the sum of its proper divisors (6596804).

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

3438396 is a wasteful number, since it uses less digits than its factorization.

3438396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3438396 is about 1854.2912392610. The cubic root of 3438396 is about 150.9333799655.

The spelling of 3438396 in words is "three million, four hundred thirty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 79 93 108 117 124 156 158 186 234 237 279 316 351 372 403 468 474 558 702 711 806 837 948 1027 1116 1209 1404 1422 1612 1674 2054 2133 2418 2449 2844 3081 3348 3627 4108 4266 4836 4898 6162 7254 7347 8532 9243 9796 10881 12324 14508 14694 18486 21762 22041 27729 29388 31837 36972 43524 44082 55458 63674 66123 88164 95511 110916 127348 132246 191022 264492 286533 382044 573066 859599 1146132 1719198 3438396