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342134010 = 233517131569
BaseRepresentation
bin10100011001001…
…000110011111010
3212211210012122000
4110121020303322
51200041242020
653541041430
711323043151
oct2431106372
9784705560
10342134010
11166142389
12966b6276
1355b60a7a
1433620598
1520083090
hex14648cfa

342134010 has 128 divisors (see below), whose sum is σ = 975110400. Its totient is φ = 85063680.

The previous prime is 342134003. The next prime is 342134017. The reversal of 342134010 is 10431243.

It is an interprime number because it is at equal distance from previous prime (342134003) and next prime (342134017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (342134017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 601006 + ... + 601574.

It is an arithmetic number, because the mean of its divisors is an integer number (7618050).

Almost surely, 2342134010 is an apocalyptic number.

342134010 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 342134010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487555200).

342134010 is an abundant number, since it is smaller than the sum of its proper divisors (632976390).

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

342134010 is a wasteful number, since it uses less digits than its factorization.

342134010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342134010 is about 18496.8648694853. The cubic root of 342134010 is about 699.4103946753.

Adding to 342134010 its reverse (10431243), we get a palindrome (352565253).

The spelling of 342134010 in words is "three hundred forty-two million, one hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 131 135 153 170 255 262 270 306 393 459 510 569 655 765 786 918 1138 1179 1310 1530 1707 1965 2227 2295 2358 2845 3414 3537 3930 4454 4590 5121 5690 5895 6681 7074 8535 9673 10242 11135 11790 13362 15363 17070 17685 19346 20043 22270 25605 29019 30726 33405 35370 40086 48365 51210 58038 60129 66810 74539 76815 87057 96730 100215 120258 145095 149078 153630 174114 200430 223617 261171 290190 300645 372695 435285 447234 522342 601290 670851 745390 870570 1118085 1267163 1305855 1341702 2012553 2236170 2534326 2611710 3354255 3801489 4025106 6335815 6708510 7602978 10062765 11404467 12671630 19007445 20125530 22808934 34213401 38014890 57022335 68426802 114044670 171067005 342134010