Search a number
-
+
30164464 = 2411367467
BaseRepresentation
bin111001100010…
…0010111110000
32002202111212101
41303010113300
530210230324
62554310144
7514252021
oct163042760
962674771
1030164464
1116033010
12a128354
136331ac5
144012c48
1529ac944
hex1cc45f0

30164464 has 40 divisors (see below), whose sum is σ = 64067328. Its totient is φ = 13644480.

The previous prime is 30164461. The next prime is 30164467. The reversal of 30164464 is 46446103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30164461) and next prime (30164467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30164461) 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, 64359 + ... + 64825.

Almost surely, 230164464 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 30164464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32033664).

30164464 is an abundant number, since it is smaller than the sum of its proper divisors (33902864).

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

30164464 is a wasteful number, since it uses less digits than its factorization.

30164464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 30164464 is about 5492.2184952895. The cubic root of 30164464 is about 311.2900249061.

It can be divided in two parts, 30164 and 464, that added together give a triangular number (30628 = T247).

The spelling of 30164464 in words is "thirty million, one hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 367 467 734 934 1468 1868 2936 3736 4037 5137 5872 7472 8074 10274 16148 20548 32296 41096 64592 82192 171389 342778 685556 1371112 1885279 2742224 3770558 7541116 15082232 30164464