Search a number
-
+
348042240 = 21032571383
BaseRepresentation
bin10100101111101…
…011010000000000
3220020220101012100
4110233223100000
51203044322430
654311430400
711424211260
oct2457532000
9806811170
10348042240
11169508317
1298685400
135714c070
143431b7a0
152084d960
hex14beb400

348042240 has 528 divisors, whose sum is σ = 1502137728. Its totient is φ = 72548352.

The previous prime is 348042223. The next prime is 348042257. The reversal of 348042240 is 42240843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (348042223) and next prime (348042257).

It is a super-2 number, since 2×3480422402 = 242266801648435200, which contains 22 as substring.

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, 4193239 + ... + 4193321.

Almost surely, 2348042240 is an apocalyptic number.

348042240 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 348042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751068864).

348042240 is an abundant number, since it is smaller than the sum of its proper divisors (1154095488).

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

348042240 is a wasteful number, since it uses less digits than its factorization.

348042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 348042240 is about 18655.8902226616. The cubic root of 348042240 is about 703.4134232424.

The spelling of 348042240 in words is "three hundred forty-eight million, forty-two thousand, two hundred forty".