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479294340 = 223574326539
BaseRepresentation
bin11100100100010…
…111001110000100
31020101212200020020
4130210113032010
51440144404330
6115320535140
714606635410
oct3444271604
91211780206
10479294340
11226604a28
121146214b0
13783b5725
1447925d40
152c128210
hex1c917384

479294340 has 96 divisors (see below), whose sum is σ = 1569469440. Its totient is φ = 107001216.

The previous prime is 479294303. The next prime is 479294351. The reversal of 479294340 is 43492974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 479294292 and 479294301.

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, 4791 + ... + 31329.

It is an arithmetic number, because the mean of its divisors is an integer number (16348640).

Almost surely, 2479294340 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 479294340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784734720).

479294340 is an abundant number, since it is smaller than the sum of its proper divisors (1090175100).

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

479294340 is a wasteful number, since it uses less digits than its factorization.

479294340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26601 (or 26599 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 479294340 is about 21892.7919644800. The cubic root of 479294340 is about 782.5896504034.

The spelling of 479294340 in words is "four hundred seventy-nine million, two hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060 26539 53078 79617 106156 132695 159234 185773 265390 318468 371546 398085 530780 557319 743092 796170 928865 1114638 1141177 1592340 1857730 2229276 2282354 2786595 3423531 3715460 4564708 5573190 5705885 6847062 7988239 11146380 11411770 13694124 15976478 17117655 22823540 23964717 31952956 34235310 39941195 47929434 68470620 79882390 95858868 119823585 159764780 239647170 479294340