Search a number
-
+
348126660 = 223857379
BaseRepresentation
bin10100101111111…
…111110111000100
3220021001200000000
4110233333313010
51203110023120
654313321300
711425012350
oct2457776704
9807050000
10348126660
11169565792
1298706230
135717b60b
1434340460
1520868990
hex14bffdc4

348126660 has 216 divisors, whose sum is σ = 1256498880. Its totient is φ = 79361856.

The previous prime is 348126659. The next prime is 348126661. The reversal of 348126660 is 66621843.

It is an interprime number because it is at equal distance from previous prime (348126659) and next prime (348126661).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (348126661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 918351 + ... + 918729.

Almost surely, 2348126660 is an apocalyptic number.

348126660 is a gapful number since it is divisible by the number (30) 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 348126660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628249440).

348126660 is an abundant number, since it is smaller than the sum of its proper divisors (908372220).

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

348126660 is an equidigital number, since it uses as much as digits as its factorization.

348126660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 348126660 is about 18658.1526416738. The cubic root of 348126660 is about 703.4702912064.

The spelling of 348126660 in words is "three hundred forty-eight million, one hundred twenty-six thousand, six hundred sixty".