Search a number
-
+
30801738 = 231123103197
BaseRepresentation
bin111010101111…
…1111101001010
32010221220001010
41311133331022
530341123423
63020104350
7522544662
oct165377512
963856033
1030801738
1116428890
12a3950b6
1364c5ba6
14413b1a2
152a86693
hex1d5ff4a

30801738 has 64 divisors (see below), whose sum is σ = 71165952. Its totient is φ = 8796480.

The previous prime is 30801737. The next prime is 30801763. The reversal of 30801738 is 83710803.

It is not an unprimeable number, because it can be changed into a prime (30801733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156256 + ... + 156452.

It is an arithmetic number, because the mean of its divisors is an integer number (1111968).

Almost surely, 230801738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30801738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35582976).

30801738 is an abundant number, since it is smaller than the sum of its proper divisors (40364214).

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

30801738 is a wasteful number, since it uses less digits than its factorization.

30801738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 30801738 is about 5549.9313509268. The cubic root of 30801738 is about 313.4669373902.

The spelling of 30801738 in words is "thirty million, eight hundred one thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 103 138 197 206 253 309 394 506 591 618 759 1133 1182 1518 2167 2266 2369 3399 4334 4531 4738 6501 6798 7107 9062 13002 13593 14214 20291 26059 27186 40582 49841 52118 60873 78177 99682 121746 149523 156354 223201 299046 446402 466693 669603 933386 1339206 1400079 2800158 5133623 10267246 15400869 30801738