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2970464 = 25789149
BaseRepresentation
bin1011010101001101100000
312120220201012
423111031200
51230023324
6143400052
734151150
oct13251540
95526635
102970464
111749832
12bb3028
13800093
14574760
153da20e
hex2d5360

2970464 has 48 divisors (see below), whose sum is σ = 6804000. Its totient is φ = 1250304.

The previous prime is 2970439. The next prime is 2970467. The reversal of 2970464 is 4640792.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2970464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19862 + ... + 20010.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

22970464 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 2970464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000).

2970464 is an abundant number, since it is smaller than the sum of its proper divisors (3833536).

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

2970464 is a wasteful number, since it uses less digits than its factorization.

2970464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2970464 is about 1723.5034087579. The cubic root of 2970464 is about 143.7500809073.

The spelling of 2970464 in words is "two million, nine hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 149 178 224 298 356 596 623 712 1043 1192 1246 1424 2086 2384 2492 2848 4172 4768 4984 8344 9968 13261 16688 19936 26522 33376 53044 92827 106088 185654 212176 371308 424352 742616 1485232 2970464