[go: up one dir, main page]

Search a number
-
+
30214644 = 22317374003
BaseRepresentation
bin111001101000…
…0100111110100
32002212001200220
41303100213310
530213332034
62555334340
7514551225
oct163204764
962761626
1030214644
1116067789
12a1513b0
13634b8b5
14402724c
1529bc749
hex1cd09f4

30214644 has 48 divisors (see below), whose sum is σ = 76684608. Its totient is φ = 9220608.

The previous prime is 30214643. The next prime is 30214649. The reversal of 30214644 is 44641203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30214643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5547 + ... + 9549.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 230214644 is an apocalyptic number.

30214644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30214644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38342304).

30214644 is an abundant number, since it is smaller than the sum of its proper divisors (46469964).

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

30214644 is a wasteful number, since it uses less digits than its factorization.

30214644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 30214644 is about 5496.7848784539. The cubic root of 30214644 is about 311.4625444600.

Adding to 30214644 its reverse (44641203), we get a palindrome (74855847).

The spelling of 30214644 in words is "thirty million, two hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 4003 7548 8006 12009 16012 24018 48036 68051 136102 148111 204153 272204 296222 408306 444333 592444 816612 888666 1777332 2517887 5035774 7553661 10071548 15107322 30214644