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341058816 = 2833721953
BaseRepresentation
bin10100010101000…
…010010100000000
3212202202120202000
4110111002110000
51144302340231
653502024000
711310644400
oct2425022400
9782676660
10341058816
1116557859a
1296278000
1355875567
1433420800
151ee1e6e6
hex14542500

341058816 has 432 divisors, whose sum is σ = 1258286400. Its totient is φ = 90574848.

The previous prime is 341058803. The next prime is 341058827. The reversal of 341058816 is 618850143.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3410588162 = 232642231942643712, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6435046 + ... + 6435098.

It is an arithmetic number, because the mean of its divisors is an integer number (2912700).

Almost surely, 2341058816 is an apocalyptic number.

341058816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629143200).

341058816 is an abundant number, since it is smaller than the sum of its proper divisors (917227584).

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

341058816 is a wasteful number, since it uses less digits than its factorization.

341058816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 341058816 is about 18467.7777764408. Note that the first 5 decimals coincide. The cubic root of 341058816 is about 698.6769676498.

It can be divided in two parts, 3410 and 58816, that added together give a palindrome (62226).

The spelling of 341058816 in words is "three hundred forty-one million, fifty-eight thousand, eight hundred sixteen".