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470340864 = 283379721
BaseRepresentation
bin11100000010001…
…101010100000000
31012210000210101000
4130002031110000
51430401401424
6114401012000
714440555110
oct3402152400
91183023330
10470340864
1122154a064
12111624000
137659c306
1446675040
152b45a3c9
hex1c08d500

470340864 has 144 divisors (see below), whose sum is σ = 1589741440. Its totient is φ = 134369280.

The previous prime is 470340859. The next prime is 470340907. The reversal of 470340864 is 468043074.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43524 + ... + 53244.

Almost surely, 2470340864 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 470340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794870720).

470340864 is an abundant number, since it is smaller than the sum of its proper divisors (1119400576).

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

470340864 is an equidigital number, since it uses as much as digits as its factorization.

470340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 470340864 is about 21687.3434057747. The cubic root of 470340864 is about 777.6859225280.

The spelling of 470340864 in words is "four hundred seventy million, three hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 9721 12096 16128 19442 24192 29163 38884 48384 58326 68047 77768 87489 116652 136094 155536 174978 204141 233304 262467 272188 311072 349956 408282 466608 524934 544376 612423 622144 699912 816564 933216 1049868 1088752 1224846 1244288 1399824 1633128 1837269 1866432 2099736 2177504 2449692 2488576 2799648 3266256 3674538 3732864 4199472 4355008 4899384 5599296 6532512 7349076 7465728 8398944 8710016 9798768 11198592 13065024 14698152 16797888 17420032 19597536 22397184 26130048 29396304 33595776 39195072 52260096 58792608 67191552 78390144 117585216 156780288 235170432 470340864