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341458768 = 24721114449
BaseRepresentation
bin10100010110100…
…011111101010000
3212210111220101001
4110112203331100
51144403140033
653514351344
711314231420
oct2426437520
9783456331
10341458768
11165821032
129642b554
1355985611
14334c6480
151ee9ce7d
hex145a3f50

341458768 has 40 divisors (see below), whose sum is σ = 759723200. Its totient is φ = 145635840.

The previous prime is 341458739. The next prime is 341458781. The reversal of 341458768 is 867854143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16408 + ... + 30856.

It is an arithmetic number, because the mean of its divisors is an integer number (18993080).

Almost surely, 2341458768 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 341458768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379861600).

341458768 is an abundant number, since it is smaller than the sum of its proper divisors (418264432).

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

341458768 is a wasteful number, since it uses less digits than its factorization.

341458768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14675 (or 14669 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 341458768 is about 18478.6029774981. The cubic root of 341458768 is about 698.9499685504.

The spelling of 341458768 in words is "three hundred forty-one million, four hundred fifty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 211 422 844 1477 1688 2954 3376 5908 11816 14449 23632 28898 57796 101143 115592 202286 231184 404572 809144 1618288 3048739 6097478 12194956 21341173 24389912 42682346 48779824 85364692 170729384 341458768