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348906240 = 2832531977
BaseRepresentation
bin10100110010111…
…110001100000000
3220022112021101100
4110302332030000
51203304444430
654342134400
711434440234
oct2462761400
9808467340
10348906240
11169a48471
1298a21400
13573923c7
14344a45c4
152096e960
hex14cbe300

348906240 has 216 divisors, whose sum is σ = 1247395968. Its totient is φ = 89948160.

The previous prime is 348906223. The next prime is 348906241. The reversal of 348906240 is 42609843.

It is a happy number.

348906240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 348906195 and 348906204.

It is not an unprimeable number, because it can be changed into a prime (348906241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356632 + ... + 357608.

Almost surely, 2348906240 is an apocalyptic number.

348906240 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 348906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623697984).

348906240 is an abundant number, since it is smaller than the sum of its proper divisors (898489728).

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

348906240 is a wasteful number, since it uses less digits than its factorization.

348906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

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

The square root of 348906240 is about 18679.0320948383. The cubic root of 348906240 is about 703.9950068516.

The spelling of 348906240 in words is "three hundred forty-eight million, nine hundred six thousand, two hundred forty".