Search a number
-
+
348058112 = 291937967
BaseRepresentation
bin10100101111101…
…111001000000000
3220020221011222012
4110233233020000
51203100324422
654312032052
711424305453
oct2457571000
9806834865
10348058112
11169519236
1298692628
135715635c
143432349a
15208534e2
hex14bef200

348058112 has 80 divisors (see below), whose sum is σ = 752600640. Its totient is φ = 160247808.

The previous prime is 348058091. The next prime is 348058157. The reversal of 348058112 is 211850843.

It is a super-2 number, since 2×3480581122 = 242288898658009088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359453 + ... + 360419.

It is an arithmetic number, because the mean of its divisors is an integer number (9407508).

Almost surely, 2348058112 is an apocalyptic number.

348058112 is a gapful number since it is divisible by the number (32) 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 348058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376300320).

348058112 is an abundant number, since it is smaller than the sum of its proper divisors (404542528).

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

348058112 is an equidigital number, since it uses as much as digits as its factorization.

348058112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 348058112 is about 18656.3156062498. The cubic root of 348058112 is about 703.4241158221.

The spelling of 348058112 in words is "three hundred forty-eight million, fifty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 256 296 304 512 592 608 703 967 1184 1216 1406 1934 2368 2432 2812 3868 4736 4864 5624 7736 9472 9728 11248 15472 18373 18944 22496 30944 35779 36746 44992 61888 71558 73492 89984 123776 143116 146984 179968 247552 286232 293968 359936 495104 572464 587936 679801 1144928 1175872 1359602 2289856 2351744 2719204 4579712 4703488 5438408 9159424 9406976 10876816 18318848 21753632 43507264 87014528 174029056 348058112