[go: up one dir, main page]

Search a number
-
+
30214608 = 2434759227
BaseRepresentation
bin111001101000…
…0100111010000
32002212001122120
41303100213100
530213331413
62555334240
7514551144
oct163204720
962761576
1030214608
1116067756
12a151380
13634b888
144027224
1529bc723
hex1cd09d0

30214608 has 80 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 9647488.

The previous prime is 30214601. The next prime is 30214609. The reversal of 30214608 is 80641203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30214601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132991 + ... + 133217.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 230214608 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 30214608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

30214608 is an abundant number, since it is smaller than the sum of its proper divisors (51208752).

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

30214608 is a wasteful number, since it uses less digits than its factorization.

30214608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30214608 is about 5496.7816038115. The cubic root of 30214608 is about 311.4624207599.

The spelling of 30214608 in words is "thirty million, two hundred fourteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 59 94 118 141 177 188 227 236 282 354 376 454 472 564 681 708 752 908 944 1128 1362 1416 1816 2256 2724 2773 2832 3632 5448 5546 8319 10669 10896 11092 13393 16638 21338 22184 26786 32007 33276 40179 42676 44368 53572 64014 66552 80358 85352 107144 128028 133104 160716 170704 214288 256056 321432 512112 629471 642864 1258942 1888413 2517884 3776826 5035768 7553652 10071536 15107304 30214608