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3249972 = 22321129283
BaseRepresentation
bin1100011001011100110100
320010010010100
430121130310
51312444342
6153354100
736424065
oct14313464
96103110
103249972
11191a830
121108930
1389a37b
1460856c
15442e4c
hex319734

3249972 has 72 divisors (see below), whose sum is σ = 9303840. Its totient is φ = 947520.

The previous prime is 3249971. The next prime is 3249977. The reversal of 3249972 is 2799423.

3249972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11343 + ... + 11625.

It is an arithmetic number, because the mean of its divisors is an integer number (129220).

Almost surely, 23249972 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 3249972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651920).

3249972 is an abundant number, since it is smaller than the sum of its proper divisors (6053868).

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

3249972 is a wasteful number, since it uses less digits than its factorization.

3249972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3249972 is about 1802.7678719125. The cubic root of 3249972 is about 148.1243780351.

It can be divided in two parts, 324 and 9972, that added together give a triangular number (10296 = T143).

The spelling of 3249972 in words is "three million, two hundred forty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 283 319 348 396 522 566 638 849 957 1044 1132 1276 1698 1914 2547 2871 3113 3396 3828 5094 5742 6226 8207 9339 10188 11484 12452 16414 18678 24621 28017 32828 37356 49242 56034 73863 90277 98484 112068 147726 180554 270831 295452 361108 541662 812493 1083324 1624986 3249972