Search a number
-
+
214736304 = 24319722709
BaseRepresentation
bin11001100110010…
…01110110110000
3112222001201211110
430303021312300
5414433030204
633150313320
75215141236
oct1463116660
9488051743
10214736304
11100238622
125bab8840
1335646903
142073a956
1513cba889
hexccc9db0

214736304 has 40 divisors (see below), whose sum is σ = 557575920. Its totient is φ = 71212288.

The previous prime is 214736293. The next prime is 214736351. The reversal of 214736304 is 403637412.

214736304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147363042 = 92223360511160832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1899 + ... + 20810.

It is an arithmetic number, because the mean of its divisors is an integer number (13939398).

Almost surely, 2214736304 is an apocalyptic number.

214736304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214736304 is an abundant number, since it is smaller than the sum of its proper divisors (342839616).

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

214736304 is a wasteful number, since it uses less digits than its factorization.

214736304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22917 (or 22911 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 214736304 is about 14653.8835808123. The cubic root of 214736304 is about 598.8276218188.

The spelling of 214736304 in words is "two hundred fourteen million, seven hundred thirty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 394 591 788 1182 1576 2364 3152 4728 9456 22709 45418 68127 90836 136254 181672 272508 363344 545016 1090032 4473673 8947346 13421019 17894692 26842038 35789384 53684076 71578768 107368152 214736304