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342166950 = 233521911327
BaseRepresentation
bin10100011001010…
…000110110100110
3212211211212211000
4110121100312212
51200043320300
653541454130
711323241166
oct2431206646
9784755730
10342166950
11166165104
1296711346
1355b72a68
143362c5a6
152008cc00
hex14650da6

342166950 has 96 divisors (see below), whose sum is σ = 948510720. Its totient is φ = 90698400.

The previous prime is 342166949. The next prime is 342166961. The reversal of 342166950 is 59661243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 257187 + ... + 258513.

It is an arithmetic number, because the mean of its divisors is an integer number (9880320).

Almost surely, 2342166950 is an apocalyptic number.

342166950 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 342166950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474255360).

342166950 is an abundant number, since it is smaller than the sum of its proper divisors (606343770).

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

342166950 is a wasteful number, since it uses less digits than its factorization.

342166950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 342166950 is about 18497.7552692212. The cubic root of 342166950 is about 699.4328399145.

The spelling of 342166950 in words is "three hundred forty-two million, one hundred sixty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 191 225 270 382 450 573 675 955 1146 1327 1350 1719 1910 2654 2865 3438 3981 4775 5157 5730 6635 7962 8595 9550 10314 11943 13270 14325 17190 19905 23886 25785 28650 33175 35829 39810 42975 51570 59715 66350 71658 85950 99525 119430 128925 179145 199050 253457 257850 298575 358290 506914 597150 760371 895725 1267285 1520742 1791450 2281113 2534570 3801855 4562226 6336425 6843339 7603710 11405565 12672850 13686678 19009275 22811130 34216695 38018550 57027825 68433390 114055650 171083475 342166950