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464070348 = 223274334253
BaseRepresentation
bin11011101010010…
…010011011001100
31012100020012211200
4123222102123030
51422300222343
6114014345500
714333350530
oct3352223314
91170205750
10464070348
11218a56a15
1210b4bb290
13751b5151
14458c1bc0
152ab1c4d3
hex1ba926cc

464070348 has 72 divisors (see below), whose sum is σ = 1344059808. Its totient is φ = 132254208.

The previous prime is 464070329. The next prime is 464070353. The reversal of 464070348 is 843070464.

464070348 is a `hidden beast` number, since 4 + 640 + 7 + 0 + 3 + 4 + 8 = 666.

It is a super-2 number, since 2×4640703482 = 430722575785682208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106990 + ... + 111242.

Almost surely, 2464070348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464070348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672029904).

464070348 is an abundant number, since it is smaller than the sum of its proper divisors (879989460).

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

464070348 is a wasteful number, since it uses less digits than its factorization.

464070348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 464070348 is about 21542.2920786067. The cubic root of 464070348 is about 774.2144509229.

The spelling of 464070348 in words is "four hundred sixty-four million, seventy thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 433 866 1299 1732 2598 3031 3897 4253 5196 6062 7794 8506 9093 12124 12759 15588 17012 18186 25518 27279 29771 36372 38277 51036 54558 59542 76554 89313 109116 119084 153108 178626 267939 357252 535878 1071756 1841549 3683098 5524647 7366196 11049294 12890843 16573941 22098588 25781686 33147882 38672529 51563372 66295764 77345058 116017587 154690116 232035174 464070348