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2430064 = 247131669
BaseRepresentation
bin1001010001010001110000
311120110102101
421101101300
51110230224
6124030144
726440510
oct11212160
94513371
102430064
11140a81a
12992354
13671110
14473840
15330044
hex251470

2430064 has 40 divisors (see below), whose sum is σ = 5798240. Its totient is φ = 960768.

The previous prime is 2430061. The next prime is 2430073. The reversal of 2430064 is 4600342.

It is a super-2 number, since 2×24300642 = 11810422088192, which contains 22 as substring.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430061) 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, 622 + ... + 2290.

It is an arithmetic number, because the mean of its divisors is an integer number (144956).

22430064 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 2430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899120).

2430064 is an abundant number, since it is smaller than the sum of its proper divisors (3368176).

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

2430064 is a wasteful number, since it uses less digits than its factorization.

2430064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2430064 is about 1558.8662546864. The cubic root of 2430064 is about 134.4433226740.

The spelling of 2430064 in words is "two million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1669 3338 6676 11683 13352 21697 23366 26704 43394 46732 86788 93464 151879 173576 186928 303758 347152 607516 1215032 2430064