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464321316 = 223192298893
BaseRepresentation
bin11011101011001…
…111101100100100
31012100200222002210
4123223033230210
51422331240231
6114024003420
714335444314
oct3353175444
91170628083
10464321316
11219108528
1210b600570
1375272454
1445949444
152ab6ba46
hex1bacfb24

464321316 has 48 divisors (see below), whose sum is σ = 1145547200. Its totient is φ = 145971072.

The previous prime is 464321303. The next prime is 464321369. The reversal of 464321316 is 613123464.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47766 + ... + 56658.

Almost surely, 2464321316 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 464321316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572773600).

464321316 is an abundant number, since it is smaller than the sum of its proper divisors (681225884).

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

464321316 is a wasteful number, since it uses less digits than its factorization.

464321316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148 (or 9146 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 464321316 is about 21548.1162981825. The cubic root of 464321316 is about 774.3539901382.

The spelling of 464321316 in words is "four hundred sixty-four million, three hundred twenty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 229 458 687 916 1374 2748 4351 8702 8893 13053 17404 17786 26106 26679 35572 52212 53358 106716 168967 337934 506901 675868 1013802 2027604 2036497 4072994 6109491 8145988 12218982 24437964 38693443 77386886 116080329 154773772 232160658 464321316