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342416130 = 235737127347
BaseRepresentation
bin10100011010001…
…101101100000010
3212212022112121220
4110122031230002
51200124304010
653551055510
711325326520
oct2432155402
9785275556
10342416130
11166315341
1296811596
1355c2c2c4
1433695310
15200db970
hex1468db02

342416130 has 128 divisors (see below), whose sum is σ = 974979072. Its totient is φ = 75333888.

The previous prime is 342416089. The next prime is 342416149. The reversal of 342416130 is 31614243.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 342416130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986617 + ... + 986963.

It is an arithmetic number, because the mean of its divisors is an integer number (7617024).

Almost surely, 2342416130 is an apocalyptic number.

342416130 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 342416130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487489536).

342416130 is an abundant number, since it is smaller than the sum of its proper divisors (632562942).

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

342416130 is a wasteful number, since it uses less digits than its factorization.

342416130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 342416130 is about 18504.4894552646. The cubic root of 342416130 is about 699.6025839386.

The spelling of 342416130 in words is "three hundred forty-two million, four hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 127 185 210 222 254 259 347 370 381 518 555 635 694 762 777 889 1041 1110 1270 1295 1554 1735 1778 1905 2082 2429 2590 2667 3470 3810 3885 4445 4699 4858 5205 5334 7287 7770 8890 9398 10410 12145 12839 13335 14097 14574 23495 24290 25678 26670 28194 32893 36435 38517 44069 46990 64195 65786 70485 72870 77034 88138 89873 98679 128390 132207 140970 164465 179746 192585 197358 220345 264414 269619 308483 328930 385170 440690 449365 493395 539238 616966 661035 898730 925449 986790 1322070 1348095 1542415 1630553 1850898 2696190 3084830 3261106 4627245 4891659 8152765 9254490 9783318 11413871 16305530 22827742 24458295 34241613 48916590 57069355 68483226 114138710 171208065 342416130