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2970432 = 2635191
BaseRepresentation
bin1011010101001101000000
312120220200000
423111031000
51230023212
6143400000
734151103
oct13251500
95526600
102970432
111749803
12bb3000
1380006a
1457473a
153da1dc
hex2d5340

2970432 has 84 divisors (see below), whose sum is σ = 8875776. Its totient is φ = 984960.

The previous prime is 2970421. The next prime is 2970433. The reversal of 2970432 is 2340792.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2970396 and 2970405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15457 + ... + 15647.

It is an arithmetic number, because the mean of its divisors is an integer number (105664).

22970432 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 2970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437888).

2970432 is an abundant number, since it is smaller than the sum of its proper divisors (5905344).

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

2970432 is an equidigital number, since it uses as much as digits as its factorization.

2970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2970432 is about 1723.4941253164. The cubic root of 2970432 is about 143.7495647120.

The spelling of 2970432 in words is "two million, nine hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 191 192 216 243 288 324 382 432 486 573 576 648 764 864 972 1146 1296 1528 1719 1728 1944 2292 2592 3056 3438 3888 4584 5157 5184 6112 6876 7776 9168 10314 12224 13752 15471 15552 18336 20628 27504 30942 36672 41256 46413 55008 61884 82512 92826 110016 123768 165024 185652 247536 330048 371304 495072 742608 990144 1485216 2970432