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341030064 = 243171812309
BaseRepresentation
bin10100010100111…
…011010010110000
3212202201010022010
4110110323102300
51144300430224
653501242520
711310464514
oct2424732260
9782633263
10341030064
11165558a31
1296263440
135586544b
1433414144
151ee15e29
hex1453b4b0

341030064 has 80 divisors (see below), whose sum is σ = 938377440. Its totient is φ = 106352640.

The previous prime is 341030059. The next prime is 341030071. The reversal of 341030064 is 460030143.

It is a self number, because there is not a number n which added to its sum of digits gives 341030064.

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 15 ways as a sum of consecutive naturals, for example, 146542 + ... + 148850.

It is an arithmetic number, because the mean of its divisors is an integer number (11729718).

Almost surely, 2341030064 is an apocalyptic number.

341030064 is a gapful number since it is divisible by the number (34) 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 341030064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469188720).

341030064 is an abundant number, since it is smaller than the sum of its proper divisors (597347376).

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

341030064 is a wasteful number, since it uses less digits than its factorization.

341030064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 341030064 is about 18466.9993231169. Note that the first 3 decimals coincide. The cubic root of 341030064 is about 698.6573337687.

The spelling of 341030064 in words is "three hundred forty-one million, thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 181 204 272 362 408 543 724 816 1086 1448 2172 2309 2896 3077 4344 4618 6154 6927 8688 9231 9236 12308 13854 18462 18472 24616 27708 36924 36944 39253 49232 55416 73848 78506 110832 117759 147696 157012 235518 314024 417929 471036 628048 835858 942072 1253787 1671716 1884144 2507574 3343432 5015148 6686864 7104793 10030296 14209586 20060592 21314379 28419172 42628758 56838344 85257516 113676688 170515032 341030064