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348946080 = 253571741149
BaseRepresentation
bin10100110011000…
…111111010100000
3220022121022000220
4110303013322200
51203312233310
654343043040
711434664340
oct2463077240
9808538026
10348946080
11169a7539a
1298a40480
13573a7592
14344b4d20
152097b670
hex14cc7ea0

348946080 has 384 divisors, whose sum is σ = 1371686400. Its totient is φ = 72744960.

The previous prime is 348946061. The next prime is 348946111. The reversal of 348946080 is 80649843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2341846 + ... + 2341994.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2348946080 is an apocalyptic number.

348946080 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 348946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

348946080 is an abundant number, since it is smaller than the sum of its proper divisors (1022740320).

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

348946080 is a wasteful number, since it uses less digits than its factorization.

348946080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 348946080 is about 18680.0985008110. The cubic root of 348946080 is about 704.0218011499.

The spelling of 348946080 in words is "three hundred forty-eight million, nine hundred forty-six thousand, eighty".