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342140370 = 2351113173461
BaseRepresentation
bin10100011001001…
…010010111010010
3212211210112100120
4110121022113102
51200041442440
653541131110
711323100535
oct2431122722
9784715316
10342140370
11166147140
12966b9a96
1355b63930
1433622a1c
1520084dd0
hex1464a5d2

342140370 has 128 divisors (see below), whose sum is σ = 972373248. Its totient is φ = 75955200.

The previous prime is 342140363. The next prime is 342140377. The reversal of 342140370 is 73041243.

It is an interprime number because it is at equal distance from previous prime (342140363) and next prime (342140377).

It is a self number, because there is not a number n which added to its sum of digits gives 342140370.

It is not an unprimeable number, because it can be changed into a prime (342140377) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 741940 + ... + 742400.

It is an arithmetic number, because the mean of its divisors is an integer number (7596666).

Almost surely, 2342140370 is an apocalyptic number.

342140370 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 342140370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486186624).

342140370 is an abundant number, since it is smaller than the sum of its proper divisors (630232878).

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

342140370 is a wasteful number, since it uses less digits than its factorization.

342140370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 342140370 is about 18497.0367897131. The cubic root of 342140370 is about 699.4147284767.

The spelling of 342140370 in words is "three hundred forty-two million, one hundred forty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 173 195 286 330 346 390 429 461 519 715 858 865 922 1038 1383 1430 1730 1903 2145 2249 2305 2595 2766 3806 4290 4498 4610 5071 5190 5709 5993 6747 6915 9515 10142 11245 11418 11986 13494 13830 15213 17979 19030 22490 24739 25355 28545 29965 30426 33735 35958 49478 50710 57090 59930 65923 67470 74217 76065 79753 89895 123695 131846 148434 152130 159506 179790 197769 239259 247390 329615 371085 395538 398765 478518 659230 742170 797530 877283 988845 1036789 1196295 1754566 1977690 2073578 2392590 2631849 3110367 4386415 5183945 5263698 6220734 8772830 10367890 11404679 13159245 15551835 22809358 26318490 31103670 34214037 57023395 68428074 114046790 171070185 342140370