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3164040 = 23325111747
BaseRepresentation
bin1100000100011110001000
312221202020200
430010132020
51302222130
6151452200
735615415
oct14043610
95852220
103164040
111871210
121087060
1386a219
145c510c
15427760
hex304788

3164040 has 192 divisors, whose sum is σ = 12130560. Its totient is φ = 706560.

The previous prime is 3164003. The next prime is 3164053. The reversal of 3164040 is 404613.

It is a super-2 number, since 2×31640402 = 20022298243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67297 + ... + 67343.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

Almost surely, 23164040 is an apocalyptic number.

3164040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065280).

3164040 is an abundant number, since it is smaller than the sum of its proper divisors (8966520).

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

3164040 is a wasteful number, since it uses less digits than its factorization.

3164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3164040 is about 1778.7748592781. The cubic root of 3164040 is about 146.8071885548.

Adding to 3164040 its reverse (404613), we get a palindrome (3568653).

It can be divided in two parts, 316 and 4040, that added together give a square (4356 = 662).

The spelling of 3164040 in words is "three million, one hundred sixty-four thousand, forty".