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348660480 = 28357217109
BaseRepresentation
bin10100110010000…
…010001100000000
3220022001210021010
4110302002030000
51203224113410
654333000520
711432364600
oct2462021400
9808053233
10348660480
1116989a863
1298923140
135730759c
143443cc00
1520921c20
hex14c82300

348660480 has 432 divisors, whose sum is σ = 1384115040. Its totient is φ = 74317824.

The previous prime is 348660451. The next prime is 348660493. The reversal of 348660480 is 84066843.

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, 3198666 + ... + 3198774.

It is an arithmetic number, because the mean of its divisors is an integer number (3203970).

Almost surely, 2348660480 is an apocalyptic number.

348660480 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 348660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692057520).

348660480 is an abundant number, since it is smaller than the sum of its proper divisors (1035454560).

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

348660480 is a wasteful number, since it uses less digits than its factorization.

348660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 348660480 is about 18672.4524366779. The cubic root of 348660480 is about 703.8296764266.

The spelling of 348660480 in words is "three hundred forty-eight million, six hundred sixty thousand, four hundred eighty".