Search a number
-
+
10348090230 = 23517149136177
BaseRepresentation
bin10011010001100101…
…10101001101110110
3222201011202110011010
421220302311031312
5132143102341410
64430455253050
7514302213162
oct115062651566
928634673133
1010348090230
114430255395
12200967a186
13c8bb5531a
14702493ca2
1540871ac20
hex268cb5376

10348090230 has 64 divisors (see below), whose sum is σ = 26473003200. Its totient is φ = 2579718144.

The previous prime is 10348090217. The next prime is 10348090301. The reversal of 10348090230 is 3209084301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 7902 + ... + 144078.

It is an arithmetic number, because the mean of its divisors is an integer number (413640675).

Almost surely, 210348090230 is an apocalyptic number.

10348090230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10348090230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236501600).

10348090230 is an abundant number, since it is smaller than the sum of its proper divisors (16124912970).

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

10348090230 is a wasteful number, since it uses less digits than its factorization.

10348090230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136353.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10348090230 in words is "ten billion, three hundred forty-eight million, ninety thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 149 170 255 298 447 510 745 894 1490 2235 2533 4470 5066 7599 12665 15198 25330 37995 75990 136177 272354 408531 680885 817062 1361770 2042655 2315009 4085310 4630018 6945027 11575045 13890054 20290373 23150090 34725135 40580746 60871119 69450270 101451865 121742238 202903730 304355595 344936341 608711190 689872682 1034809023 1724681705 2069618046 3449363410 5174045115 10348090230