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2429630 = 25761569
BaseRepresentation
bin1001010001001010111110
311120102211022
421101022332
51110222010
6124024142
726436320
oct11211276
94512738
102429630
11140a465
12992052
13670b68
14473610
1532ed55
hex2512be

2429630 has 32 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 817920.

The previous prime is 2429627. The next prime is 2429633. The reversal of 2429630 is 369242.

2429630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2429627) and next prime (2429633).

It is a self number, because there is not a number n which added to its sum of digits gives 2429630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429633) 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, 3986 + ... + 4554.

It is an arithmetic number, because the mean of its divisors is an integer number (159030).

22429630 is an apocalyptic number.

2429630 is an abundant number, since it is smaller than the sum of its proper divisors (2659330).

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

2429630 is a wasteful number, since it uses less digits than its factorization.

2429630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2429630 is about 1558.7270447388. The cubic root of 2429630 is about 134.4353185123.

The spelling of 2429630 in words is "two million, four hundred twenty-nine thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 35 61 70 122 305 427 569 610 854 1138 2135 2845 3983 4270 5690 7966 19915 34709 39830 69418 173545 242963 347090 485926 1214815 2429630