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3132272 = 241113372
BaseRepresentation
bin1011111100101101110000
312220010200002
423330231300
51300213042
6151045132
735423663
oct13745560
95803602
103132272
11184a360
1210707a8
13858920
145b76da
1541d132
hex2fcb70

3132272 has 60 divisors (see below), whose sum is σ = 7327656. Its totient is φ = 1278720.

The previous prime is 3132263. The next prime is 3132281. The reversal of 3132272 is 2722313.

It is an interprime number because it is at equal distance from previous prime (3132263) and next prime (3132281).

It is a super-2 number, since 2×31322722 = 19622255763968, which contains 22 as substring.

Its product of digits (504) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 84638 + ... + 84674.

Almost surely, 23132272 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 3132272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663828).

3132272 is an abundant number, since it is smaller than the sum of its proper divisors (4195384).

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

3132272 is a wasteful number, since it uses less digits than its factorization.

3132272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 63 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 3132272 is about 1769.8225899790. The cubic root of 3132272 is about 146.3142041621.

Adding to 3132272 its reverse (2722313), we get a palindrome (5854585).

The spelling of 3132272 in words is "three million, one hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 407 481 572 592 814 962 1144 1369 1628 1924 2288 2738 3256 3848 5291 5476 6512 7696 10582 10952 15059 17797 21164 21904 30118 35594 42328 60236 71188 84656 120472 142376 195767 240944 284752 391534 783068 1566136 3132272