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457334668 = 227235313399
BaseRepresentation
bin11011010000100…
…101111110001100
31011212120000020001
4123100211332030
51414034202133
6113214134044
714222165140
oct3320457614
91155500201
10457334668
1121517633a
121091b1324
137399733b
1444a4b220
152a23b87d
hex1b425f8c

457334668 has 48 divisors (see below), whose sum is σ = 972518400. Its totient is φ = 183927744.

The previous prime is 457334659. The next prime is 457334671. The reversal of 457334668 is 866433754.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 27433 + ... + 40831.

It is an arithmetic number, because the mean of its divisors is an integer number (20260800).

Almost surely, 2457334668 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 457334668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486259200).

457334668 is an abundant number, since it is smaller than the sum of its proper divisors (515183732).

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

457334668 is a wasteful number, since it uses less digits than its factorization.

457334668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13486 (or 13484 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The square root of 457334668 is about 21385.3844482628. The cubic root of 457334668 is about 770.4504408931.

The spelling of 457334668 in words is "four hundred fifty-seven million, three hundred thirty-four thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 53 92 106 161 212 322 371 644 742 1219 1484 2438 4876 8533 13399 17066 26798 34132 53596 93793 187586 308177 375172 616354 710147 1232708 1420294 2157239 2840588 4314478 4971029 8628956 9942058 16333381 19884116 32666762 65333524 114333667 228667334 457334668