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341890048 = 210292397
BaseRepresentation
bin10100011000001…
…101010000000000
3212211022210222101
4110120031100000
51200010440143
653531520144
711321005663
oct2430152000
9784283871
10341890048
11165a96065
12965b9054
1355aa6a06
14335996da
1520035b4d
hex1460d400

341890048 has 66 divisors (see below), whose sum is σ = 709608926. Its totient is φ = 164634624.

The previous prime is 341890037. The next prime is 341890049. The reversal of 341890048 is 840098143.

It can be written as a sum of positive squares in 3 ways, for example, as 79709184 + 262180864 = 8928^2 + 16192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 341889989 and 341890016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341890049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 860986 + ... + 861382.

Almost surely, 2341890048 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 341890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354804463).

341890048 is an abundant number, since it is smaller than the sum of its proper divisors (367718878).

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

341890048 is an equidigital number, since it uses as much as digits as its factorization.

341890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 341890048 is about 18490.2690083189. The cubic root of 341890048 is about 699.2441146737.

The spelling of 341890048 in words is "three hundred forty-one million, eight hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 397 464 512 794 841 928 1024 1588 1682 1856 3176 3364 3712 6352 6728 7424 11513 12704 13456 14848 23026 25408 26912 29696 46052 50816 53824 92104 101632 107648 184208 203264 215296 333877 368416 406528 430592 667754 736832 861184 1335508 1473664 2671016 2947328 5342032 5894656 10684064 11789312 21368128 42736256 85472512 170945024 341890048