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464063364 = 223323227823
BaseRepresentation
bin11011101010010…
…000101110000100
31012100012212021000
4123222100232010
51422300011424
6114014253300
714333321262
oct3352205604
91170185230
10464063364
11218a51746
1210b4b7230
13751b1c0b
14458bd432
152ab1a3c9
hex1ba90b84

464063364 has 96 divisors (see below), whose sum is σ = 1262499840. Its totient is φ = 147131424.

The previous prime is 464063329. The next prime is 464063377. The reversal of 464063364 is 463360464.

464063364 is a `hidden beast` number, since 4 + 640 + 6 + 3 + 3 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563457 + ... + 564279.

It is an arithmetic number, because the mean of its divisors is an integer number (13151040).

Almost surely, 2464063364 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 464063364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631249920).

464063364 is an abundant number, since it is smaller than the sum of its proper divisors (798436476).

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

464063364 is a wasteful number, since it uses less digits than its factorization.

464063364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 464063364 is about 21542.1299782542. The cubic root of 464063364 is about 774.2105670714.

It can be divided in two parts, 46406 and 3364, that added together give a triangular number (49770 = T315).

The spelling of 464063364 in words is "four hundred sixty-four million, sixty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 227 276 414 454 621 681 823 828 908 1242 1362 1646 2043 2469 2484 2724 3292 4086 4938 5221 6129 7407 8172 9876 10442 12258 14814 15663 18929 20884 22221 24516 29628 31326 37858 44442 46989 56787 62652 75716 88884 93978 113574 140967 170361 186821 187956 227148 281934 340722 373642 511083 560463 563868 681444 747284 1022166 1120926 1681389 2044332 2241852 3362778 4296883 5044167 6725556 8593766 10088334 12890649 17187532 20176668 25781298 38671947 51562596 77343894 116015841 154687788 232031682 464063364