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348917490 = 23356531979
BaseRepresentation
bin10100110011000…
…000111011110010
3220022112211211000
4110303000323302
51203310324430
654342302430
711434515105
oct2463007362
9808484730
10348917490
11169a55969
1298a27a16
135739756c
14344a873c
1520972e60
hex14cc0ef2

348917490 has 64 divisors (see below), whose sum is σ = 932342400. Its totient is φ = 92855232.

The previous prime is 348917461. The next prime is 348917507. The reversal of 348917490 is 94719843.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175321 + ... + 177299.

It is an arithmetic number, because the mean of its divisors is an integer number (14567850).

Almost surely, 2348917490 is an apocalyptic number.

348917490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348917490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466171200).

348917490 is an abundant number, since it is smaller than the sum of its proper divisors (583424910).

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

348917490 is a wasteful number, since it uses less digits than its factorization.

348917490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2642 counting only the distinct ones).

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

The square root of 348917490 is about 18679.3332322115. Note that the first 3 decimals coincide. The cubic root of 348917490 is about 704.0025732193.

The spelling of 348917490 in words is "three hundred forty-eight million, nine hundred seventeen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 653 1306 1959 1979 3265 3918 3958 5877 5937 6530 9795 9895 11754 11874 17631 17811 19590 19790 29385 29685 35262 35622 53433 58770 59370 88155 89055 106866 176310 178110 267165 534330 1292287 2584574 3876861 6461435 7753722 11630583 12922870 19384305 23261166 34891749 38768610 58152915 69783498 116305830 174458745 348917490