Search a number
-
+
30214265340 = 22357210276961
BaseRepresentation
bin11100001000111010…
…010001100111111100
32212222200110201011110
4130020322101213330
5443334322442330
621514044322020
72116511006100
oct341072214774
985880421143
1030214265340
11118a518a826
125a32843310
132b068a551c
141668aa1900
15bbc84edb0
hex708e919fc

30214265340 has 72 divisors (see below), whose sum is σ = 98412188112. Its totient is φ = 6906117120.

The previous prime is 30214265299. The next prime is 30214265401. The reversal of 30214265340 is 4356241203.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30214265298 and 30214265307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5135541 + ... + 5141420.

It is an arithmetic number, because the mean of its divisors is an integer number (1366835946).

Almost surely, 230214265340 is an apocalyptic number.

30214265340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30214265340 is an abundant number, since it is smaller than the sum of its proper divisors (68197922772).

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

30214265340 is a wasteful number, since it uses less digits than its factorization.

30214265340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10276987 (or 10276978 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 30214265340 in words is "thirty billion, two hundred fourteen million, two hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 10276961 20553922 30830883 41107844 51384805 61661766 71938727 102769610 123323532 143877454 154154415 205539220 215816181 287754908 308308830 359693635 431632362 503571089 616617660 719387270 863264724 1007142178 1079080905 1438774540 1510713267 2014284356 2158161810 2517855445 3021426534 4316323620 5035710890 6042853068 7553566335 10071421780 15107132670 30214265340