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348948480 = 2113537307
BaseRepresentation
bin10100110011001…
…000100000000000
3220022121102022210
4110303020200000
51203312322410
654343102120
711435004336
oct2463104000
9808542283
10348948480
11169a77181
1298a41940
13573a86ba
14344b5b56
152097c220
hex14cc8800

348948480 has 192 divisors, whose sum is σ = 1150269120. Its totient is φ = 90243072.

The previous prime is 348948473. The next prime is 348948497. The reversal of 348948480 is 84849843.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136487 + ... + 1136793.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2348948480 is an apocalyptic number.

348948480 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 348948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575134560).

348948480 is an abundant number, since it is smaller than the sum of its proper divisors (801320640).

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

348948480 is a wasteful number, since it uses less digits than its factorization.

348948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 348948480 is about 18680.1627401905. The cubic root of 348948480 is about 704.0234151992.

The spelling of 348948480 in words is "three hundred forty-eight million, nine hundred forty-eight thousand, four hundred eighty".