Search a number
-
+
30046644 = 2232834629
BaseRepresentation
bin111001010011…
…1100110110100
32002112112020200
41302213212310
530142443034
62552000500
7513251355
oct162474664
962475220
1030046644
1115a62541
12a090130
1362c02a4
143dc1d2c
152987a99
hex1ca79b4

30046644 has 18 divisors (see below), whose sum is σ = 75951330. Its totient is φ = 10015536.

The previous prime is 30046603. The next prime is 30046649. The reversal of 30046644 is 44664003.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29289744 + 756900 = 5412^2 + 870^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×300466443 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30046649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417279 + ... + 417350.

Almost surely, 230046644 is an apocalyptic number.

It is an amenable number.

30046644 is an abundant number, since it is smaller than the sum of its proper divisors (45904686).

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

30046644 is a wasteful number, since it uses less digits than its factorization.

30046644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834639 (or 834634 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 30046644 is about 5481.4819164164. The cubic root of 30046644 is about 310.8842047104.

The spelling of 30046644 in words is "thirty million, forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 834629 1669258 2503887 3338516 5007774 7511661 10015548 15023322 30046644