Search a number
-
+
30916404 = 2235171871
BaseRepresentation
bin111010111101…
…1111100110100
32011011201100000
41311323330310
530403311104
63022351300
7523533201
oct165737464
964151300
1030916404
11164a6a52
12a42b530
13653613c
14416aca8
152aaa639
hex1d7bf34

30916404 has 72 divisors (see below), whose sum is σ = 85857408. Its totient is φ = 9694080.

The previous prime is 30916399. The next prime is 30916409. The reversal of 30916404 is 40461903.

It is an interprime number because it is at equal distance from previous prime (30916399) and next prime (30916409).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30916409) 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 23 ways as a sum of consecutive naturals, for example, 15589 + ... + 17459.

It is an arithmetic number, because the mean of its divisors is an integer number (1192464).

Almost surely, 230916404 is an apocalyptic number.

30916404 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 30916404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).

30916404 is an abundant number, since it is smaller than the sum of its proper divisors (54941004).

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

30916404 is a wasteful number, since it uses less digits than its factorization.

30916404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30916404 is about 5560.2521525557. The cubic root of 30916404 is about 313.8554380738.

The spelling of 30916404 in words is "thirty million, nine hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 1871 2754 3742 4131 5508 5613 7484 8262 11226 16524 16839 22452 31807 33678 50517 63614 67356 95421 101034 127228 151551 190842 202068 286263 303102 381684 454653 572526 606204 858789 909306 1145052 1717578 1818612 2576367 3435156 5152734 7729101 10305468 15458202 30916404