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474323664 = 2431723127199
BaseRepresentation
bin11100010001011…
…001101011010000
31020001112010202010
4130101121223100
51432411324124
6115022222520
714516453553
oct3421315320
91201463663
10474323664
1122381a431
12112a24a40
13773650b9
1446dd069a
152b995529
hex1c459ad0

474323664 has 160 divisors (see below), whose sum is σ = 1371340800. Its totient is φ = 140507136.

The previous prime is 474323639. The next prime is 474323699. The reversal of 474323664 is 466323474.

It is a congruent number.

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, 2383437 + ... + 2383635.

It is an arithmetic number, because the mean of its divisors is an integer number (8570880).

Almost surely, 2474323664 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 474323664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685670400).

474323664 is an abundant number, since it is smaller than the sum of its proper divisors (897017136).

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

474323664 is a wasteful number, since it uses less digits than its factorization.

474323664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

The square root of 474323664 is about 21778.9729785406. The cubic root of 474323664 is about 779.8748780233.

The spelling of 474323664 in words is "four hundred seventy-four million, three hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 127 136 138 184 199 204 254 272 276 368 381 391 398 408 508 552 597 762 782 796 816 1016 1104 1173 1194 1524 1564 1592 2032 2159 2346 2388 2921 3048 3128 3184 3383 4318 4577 4692 4776 5842 6096 6256 6477 6766 8636 8763 9154 9384 9552 10149 11684 12954 13532 13731 17272 17526 18308 18768 20298 23368 25273 25908 27064 27462 34544 35052 36616 40596 46736 49657 50546 51816 54128 54924 70104 73232 75819 77809 81192 99314 101092 103632 109848 140208 148971 151638 155618 162384 198628 202184 219696 233427 297942 303276 311236 397256 404368 429641 466854 581279 595884 606552 622472 794512 859282 933708 1162558 1191768 1213104 1244944 1288923 1718564 1743837 1867416 2325116 2383536 2577846 3437128 3487674 3734832 4650232 5155692 6874256 6975348 9300464 9881743 10311384 13950696 19763486 20622768 27901392 29645229 39526972 59290458 79053944 118580916 158107888 237161832 474323664