Search a number
-
+
457230348 = 223213196953
BaseRepresentation
bin11011010000001…
…100100000001100
31011212100201010100
4123100030200030
51414022332343
6113212011100
714221252041
oct3320144014
91155321110
10457230348
11215104a23
12109160a90
137395ba03
1444a211c8
152a21a9d3
hex1b40c80c

457230348 has 36 divisors (see below), whose sum is σ = 1164611448. Its totient is φ = 151245120.

The previous prime is 457230343. The next prime is 457230359. The reversal of 457230348 is 843032754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4572303482 = 418119182264402208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (457230341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43761 + ... + 53192.

It is an arithmetic number, because the mean of its divisors is an integer number (32350318).

Almost surely, 2457230348 is an apocalyptic number.

It is an amenable number.

457230348 is an abundant number, since it is smaller than the sum of its proper divisors (707381100).

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

457230348 is a wasteful number, since it uses less digits than its factorization.

457230348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97094 (or 97089 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 457230348 is about 21382.9452601834. The cubic root of 457230348 is about 770.3918554213.

The spelling of 457230348 in words is "four hundred fifty-seven million, two hundred thirty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 96953 193906 290859 387812 581718 872577 1163436 1745154 3490308 12700843 25401686 38102529 50803372 76205058 114307587 152410116 228615174 457230348