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30406404 = 223717107199
BaseRepresentation
bin111001111111…
…1011100000100
32010012210202010
41303333130010
530241001104
63003414220
7516310260
oct163773404
963183663
1030406404
1116188866
12a224370
1363b7c72
1440770a0
152a09489
hex1cff704

30406404 has 96 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 8059392.

The previous prime is 30406399. The next prime is 30406427. The reversal of 30406404 is 40460403.

It is a super-2 number, since 2×304064042 = 1849098808422432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152697 + ... + 152895.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 230406404 is an apocalyptic number.

30406404 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 30406404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

30406404 is an abundant number, since it is smaller than the sum of its proper divisors (56684796).

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

30406404 is a wasteful number, since it uses less digits than its factorization.

30406404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 30406404 is about 5514.2002139930. The cubic root of 30406404 is about 312.1200639160.

Adding to 30406404 its reverse (40460403), we get a palindrome (70866807).

The spelling of 30406404 in words is "thirty million, four hundred six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 107 119 199 204 214 238 321 357 398 428 476 597 642 714 749 796 1194 1284 1393 1428 1498 1819 2247 2388 2786 2996 3383 3638 4179 4494 5457 5572 6766 7276 8358 8988 10149 10914 12733 13532 16716 20298 21293 21828 23681 25466 38199 40596 42586 47362 50932 63879 71043 76398 85172 94724 127758 142086 149051 152796 255516 284172 298102 361981 447153 596204 723962 894306 1085943 1447924 1788612 2171886 2533867 4343772 5067734 7601601 10135468 15203202 30406404