Search a number
-
+
30401304 = 23317269277
BaseRepresentation
bin111001111111…
…0001100011000
32010012112202020
41303332030120
530240320204
63003334440
7516256353
oct163761430
963175666
1030401304
1116184a4a
12a221420
1363b584b
14407529a
152a07bd9
hex1cfe318

30401304 has 64 divisors (see below), whose sum is σ = 81064800. Its totient is φ = 9467904.

The previous prime is 30401269. The next prime is 30401351. The reversal of 30401304 is 40310403.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109614 + ... + 109890.

Almost surely, 230401304 is an apocalyptic number.

30401304 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 30401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40532400).

30401304 is an abundant number, since it is smaller than the sum of its proper divisors (50663496).

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

30401304 is a wasteful number, since it uses less digits than its factorization.

30401304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30401304 is about 5513.7377521968. The cubic root of 30401304 is about 312.1026125338.

Adding to 30401304 its reverse (40310403), we get a palindrome (70711707).

Subtracting 30401304 from its reverse (40310403), we obtain a palindrome (9909099).

The spelling of 30401304 in words is "thirty million, four hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 269 277 408 538 554 807 831 1076 1108 1614 1662 2152 2216 3228 3324 4573 4709 6456 6648 9146 9418 13719 14127 18292 18836 27438 28254 36584 37672 54876 56508 74513 109752 113016 149026 223539 298052 447078 596104 894156 1266721 1788312 2533442 3800163 5066884 7600326 10133768 15200652 30401304