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2976312 = 2331961107
BaseRepresentation
bin1011010110101000111000
312121012201210
423112220320
51230220222
6143443120
734204203
oct13265070
95535653
102976312
111753169
12bb64a0
13802941
1457693a
153dbd0c
hex2d6a38

2976312 has 64 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 915840.

The previous prime is 2976289. The next prime is 2976319. The reversal of 2976312 is 2136792.

2976312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2976312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976319) 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 15 ways as a sum of consecutive naturals, for example, 27763 + ... + 27869.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

22976312 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 2976312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2976312 is an abundant number, since it is smaller than the sum of its proper divisors (5058888).

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

2976312 is a wasteful number, since it uses less digits than its factorization.

2976312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 2976312 is about 1725.1991189425. The cubic root of 2976312 is about 143.8443534305.

The spelling of 2976312 in words is "two million, nine hundred seventy-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 107 114 122 152 183 214 228 244 321 366 428 456 488 642 732 856 1159 1284 1464 2033 2318 2568 3477 4066 4636 6099 6527 6954 8132 9272 12198 13054 13908 16264 19581 24396 26108 27816 39162 48792 52216 78324 124013 156648 248026 372039 496052 744078 992104 1488156 2976312