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457024134 = 237311732029
BaseRepresentation
bin11011001111011…
…010001010000110
31011211222020020210
4123033122022012
51413444233014
6113203340250
714216432610
oct3317321206
91154866223
10457024134
11214a83aa6
12109081686
13738b8ba8
14449a9db0
152a1c9859
hex1b3da286

457024134 has 64 divisors (see below), whose sum is σ = 1085091840. Its totient is φ = 125573760.

The previous prime is 457024129. The next prime is 457024147. The reversal of 457024134 is 431420754.

It is a Curzon number.

It is a congruent number.

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, 224232 + ... + 226260.

It is an arithmetic number, because the mean of its divisors is an integer number (16954560).

Almost surely, 2457024134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457024134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542545920).

457024134 is an abundant number, since it is smaller than the sum of its proper divisors (628067706).

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

457024134 is a wasteful number, since it uses less digits than its factorization.

457024134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245.

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 457024134 is about 21378.1227894313. The cubic root of 457024134 is about 770.2760206814.

Adding to 457024134 its reverse (431420754), we get a palindrome (888444888).

The spelling of 457024134 in words is "four hundred fifty-seven million, twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 173 186 217 346 434 519 651 1038 1211 1302 2029 2422 3633 4058 5363 6087 7266 10726 12174 14203 16089 28406 32178 37541 42609 62899 75082 85218 112623 125798 188697 225246 351017 377394 440293 702034 880586 1053051 1320879 2106102 2457119 2641758 4914238 7371357 10881527 14742714 21763054 32644581 65289162 76170689 152341378 228512067 457024134