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2964390 = 2351113691
BaseRepresentation
bin1011010011101110100110
312120121101020
423103232212
51224330030
6143312010
734124352
oct13235646
95517336
102964390
111745210
12bab606
137ca3a0
14572462
153d8510
hex2d3ba6

2964390 has 64 divisors (see below), whose sum is σ = 8370432. Its totient is φ = 662400.

The previous prime is 2964383. The next prime is 2964397. The reversal of 2964390 is 934692.

It is an interprime number because it is at equal distance from previous prime (2964383) and next prime (2964397).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964397) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3945 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (130788).

22964390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2964390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185216).

2964390 is an abundant number, since it is smaller than the sum of its proper divisors (5406042).

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

2964390 is a wasteful number, since it uses less digits than its factorization.

2964390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2964390 is about 1721.7403985503. The cubic root of 2964390 is about 143.6520340703.

It can be divided in two parts, 2964 and 390, that multiplied together give a triangular number (1155960 = T1520).

The spelling of 2964390 in words is "two million, nine hundred sixty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 691 715 858 1382 1430 2073 2145 3455 4146 4290 6910 7601 8983 10365 15202 17966 20730 22803 26949 38005 44915 45606 53898 76010 89830 98813 114015 134745 197626 228030 269490 296439 494065 592878 988130 1482195 2964390