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3933396 = 2232372953
BaseRepresentation
bin1111000000010011010100
321101211121100
433000103110
52001332041
6220150100
745301425
oct17002324
97354540
103933396
112247245
121398330
13a7946c
1474564c
1552a6b6
hex3c04d4

3933396 has 36 divisors (see below), whose sum is σ = 10214932. Its totient is φ = 1275264.

The previous prime is 3933379. The next prime is 3933431. The reversal of 3933396 is 6933393.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 562500 = 1836^2 + 750^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 3933396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 2808.

Almost surely, 23933396 is an apocalyptic number.

3933396 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 3933396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107466).

3933396 is an abundant number, since it is smaller than the sum of its proper divisors (6281536).

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

3933396 is a wasteful number, since it uses less digits than its factorization.

3933396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2995 counting only the distinct ones).

The product of its digits is 39366, while the sum is 36.

The square root of 3933396 is about 1983.2791029000. The cubic root of 3933396 is about 157.8541087749.

The spelling of 3933396 in words is "three million, nine hundred thirty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2953 5906 8859 11812 17718 26577 35436 53154 106308 109261 218522 327783 437044 655566 983349 1311132 1966698 3933396