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3213132 = 2231343479
BaseRepresentation
bin1100010000011101001100
320001020120220
430100131030
51310310012
6152511340
736211506
oct14203514
96036526
103213132
1118a508a
1210ab550
13886680
145d8d76
1543708c
hex31074c

3213132 has 48 divisors (see below), whose sum is σ = 8279040. Its totient is φ = 963648.

The previous prime is 3213131. The next prime is 3213137. The reversal of 3213132 is 2313123.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213131) 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, 6469 + ... + 6947.

It is an arithmetic number, because the mean of its divisors is an integer number (172480).

Almost surely, 23213132 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 3213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139520).

3213132 is an abundant number, since it is smaller than the sum of its proper divisors (5065908).

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

3213132 is a wasteful number, since it uses less digits than its factorization.

3213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 540 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 3213132 is about 1792.5211295826. The cubic root of 3213132 is about 147.5625627543.

Adding to 3213132 its reverse (2313123), we get a palindrome (5526255).

Subtracting from 3213132 its reverse (2313123), we obtain a palindrome (900009).

The spelling of 3213132 in words is "three million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 479 516 559 958 1118 1437 1677 1916 2236 2874 3354 5748 6227 6708 12454 18681 20597 24908 37362 41194 61791 74724 82388 123582 247164 267761 535522 803283 1071044 1606566 3213132