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348023940 = 2235114312263
BaseRepresentation
bin10100101111100…
…110110010000100
3220020212110002120
4110233212302010
51203043231230
654311205540
711424104025
oct2457466204
9806773076
10348023940
111694a55a0
12986768b0
1357143934
1434314c4c
1520848310
hex14be6c84

348023940 has 96 divisors (see below), whose sum is σ = 1087865856. Its totient is φ = 82400640.

The previous prime is 348023903. The next prime is 348023947. The reversal of 348023940 is 49320843.

It is a super-2 number, since 2×3480239402 = 242241325626247200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (348023947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22249 + ... + 34511.

It is an arithmetic number, because the mean of its divisors is an integer number (11331936).

Almost surely, 2348023940 is an apocalyptic number.

348023940 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 348023940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543932928).

348023940 is an abundant number, since it is smaller than the sum of its proper divisors (739841916).

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

348023940 is a wasteful number, since it uses less digits than its factorization.

348023940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12329 (or 12327 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 348023940 is about 18655.3997544947. The cubic root of 348023940 is about 703.4010945748.

The spelling of 348023940 in words is "three hundred forty-eight million, twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 9460 12263 14190 24526 28380 36789 49052 61315 73578 122630 134893 147156 183945 245260 269786 367890 404679 527309 539572 674465 735780 809358 1054618 1348930 1581927 1618716 2023395 2109236 2636545 2697860 3163854 4046790 5273090 5800399 6327708 7909635 8093580 10546180 11600798 15819270 17401197 23201596 29001995 31638540 34802394 58003990 69604788 87005985 116007980 174011970 348023940