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464321364 = 2231310727817
BaseRepresentation
bin11011101011001…
…111101101010100
31012100200222011120
4123223033231110
51422331240424
6114024003540
714335444413
oct3353175524
91170628146
10464321364
11219108571
1210b6005b0
1375272490
144594947a
152ab6ba79
hex1bacfb54

464321364 has 48 divisors (see below), whose sum is σ = 1177702848. Its totient is φ = 141527808.

The previous prime is 464321303. The next prime is 464321369. The reversal of 464321364 is 463123464.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464321369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2784 + ... + 30600.

It is an arithmetic number, because the mean of its divisors is an integer number (24535476).

Almost surely, 2464321364 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 464321364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588851424).

464321364 is an abundant number, since it is smaller than the sum of its proper divisors (713381484).

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

464321364 is a wasteful number, since it uses less digits than its factorization.

464321364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27944 (or 27942 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 464321364 is about 21548.1174119690. The cubic root of 464321364 is about 774.3540168216.

The spelling of 464321364 in words is "four hundred sixty-four million, three hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 8346 16692 27817 55634 83451 111268 166902 333804 361621 723242 1084863 1446484 2169726 2976419 4339452 5952838 8929257 11905676 17858514 35717028 38693447 77386894 116080341 154773788 232160682 464321364