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30449664 = 21332759
BaseRepresentation
bin111010000101…
…0000000000000
32010022000002100
41310022000000
530243342124
63004350400
7516550350
oct164120000
963260070
1030449664
1116208313
12a245400
13640186b
144088b60
152a171c9
hex1d0a000

30449664 has 168 divisors, whose sum is σ = 102229920. Its totient is φ = 8552448.

The previous prime is 30449663. The next prime is 30449701. The reversal of 30449664 is 46694403.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30449663) 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, 516067 + ... + 516125.

Almost surely, 230449664 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 30449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51114960).

30449664 is an abundant number, since it is smaller than the sum of its proper divisors (71780256).

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

30449664 is an equidigital number, since it uses as much as digits as its factorization.

30449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 30449664 is about 5518.1214194688. The cubic root of 30449664 is about 312.2680142804.

It can be divided in two parts, 30449 and 664, that added together give a palindrome (31113).

The spelling of 30449664 in words is "thirty million, four hundred forty-nine thousand, six hundred sixty-four".