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3973332 = 2231131971
BaseRepresentation
bin1111001010000011010100
321110212101110
433022003110
52004121312
6221055020
745526026
oct17120324
97425343
103973332
112274250
1213b7470
13a916ac
14756016
1553743c
hex3ca0d4

3973332 has 48 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 1164000.

The previous prime is 3973331. The next prime is 3973339. The reversal of 3973332 is 2333793.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3973332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973331) 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, 3607 + ... + 4577.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 23973332 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 3973332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

3973332 is an abundant number, since it is smaller than the sum of its proper divisors (6477612).

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

3973332 is a wasteful number, since it uses less digits than its factorization.

3973332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its digits is 10206, while the sum is 30.

The square root of 3973332 is about 1993.3218505801. The cubic root of 3973332 is about 158.3865448728.

The spelling of 3973332 in words is "three million, nine hundred seventy-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 971 1023 1364 1942 2046 2913 3884 4092 5826 10681 11652 21362 30101 32043 42724 60202 64086 90303 120404 128172 180606 331111 361212 662222 993333 1324444 1986666 3973332