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348791940 = 223357531741
BaseRepresentation
bin10100110010100…
…010010010000100
3220022022110121000
4110302202102010
51203242320230
654335453300
711433453060
oct2462422204
9808273530
10348791940
1116997a602
1298987230
1357352383
1434474aa0
152094ab60
hex14ca2484

348791940 has 192 divisors, whose sum is σ = 1264273920. Its totient is φ = 78174720.

The previous prime is 348791929. The next prime is 348791953. The reversal of 348791940 is 49197843.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 199470 + ... + 201210.

It is an arithmetic number, because the mean of its divisors is an integer number (6584760).

Almost surely, 2348791940 is an apocalyptic number.

348791940 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 348791940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632136960).

348791940 is an abundant number, since it is smaller than the sum of its proper divisors (915481980).

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

348791940 is a wasteful number, since it uses less digits than its factorization.

348791940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 348791940 is about 18675.9722638475. The cubic root of 348791940 is about 703.9181233335.

The spelling of 348791940 in words is "three hundred forty-eight million, seven hundred ninety-one thousand, nine hundred forty".