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474959340 = 22325191131229
BaseRepresentation
bin11100010011110…
…100110111101100
31020002201102201200
4130103310313230
51433042144330
6115044005500
714525042052
oct3423646754
91202642650
10474959340
11224113a89
12113090890
137752853b
14471181d2
152ba6da60
hex1c4f4dec

474959340 has 144 divisors (see below), whose sum is σ = 1531202400. Its totient is φ = 118831104.

The previous prime is 474959333. The next prime is 474959347. The reversal of 474959340 is 43959474.

It is a happy number.

474959340 is a `hidden beast` number, since 474 + 95 + 93 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (474959333) and next prime (474959347).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (474959347) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 385846 + ... + 387074.

It is an arithmetic number, because the mean of its divisors is an integer number (10633350).

Almost surely, 2474959340 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 474959340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765601200).

474959340 is an abundant number, since it is smaller than the sum of its proper divisors (1056243060).

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

474959340 is a wasteful number, since it uses less digits than its factorization.

474959340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 474959340 is about 21793.5618933666. The cubic root of 474959340 is about 780.2231117173.

The spelling of 474959340 in words is "four hundred seventy-four million, nine hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 113 114 171 180 190 226 228 285 339 342 380 452 565 570 678 684 855 1017 1130 1140 1229 1356 1695 1710 2034 2147 2260 2458 3390 3420 3687 4068 4294 4916 5085 6145 6441 6780 7374 8588 10170 10735 11061 12290 12882 14748 18435 19323 20340 21470 22122 23351 24580 25764 32205 36870 38646 42940 44244 46702 55305 64410 70053 73740 77292 93404 96615 110610 116755 128820 138877 140106 193230 210159 221220 233510 277754 280212 350265 386460 416631 420318 467020 555508 694385 700530 833262 840636 1050795 1249893 1388770 1401060 1666524 2083155 2101590 2499786 2638663 2777540 4166310 4203180 4999572 5277326 6249465 7915989 8332620 10554652 12498930 13193315 15831978 23747967 24997860 26386630 31663956 39579945 47495934 52773260 79159890 94991868 118739835 158319780 237479670 474959340