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342208962 = 23419731523
BaseRepresentation
bin10100011001011…
…011000111000010
3212211221000110000
4110121123013002
51200101141322
653542420430
711323504524
oct2431330702
9784830400
10342208962
11166193727
1296731716
1355b88c14
143363da14
152009a3ac
hex1465b1c2

342208962 has 80 divisors (see below), whose sum is σ = 818753760. Its totient is φ = 106515648.

The previous prime is 342208939. The next prime is 342208987. The reversal of 342208962 is 269802243.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 223933 + ... + 225455.

It is an arithmetic number, because the mean of its divisors is an integer number (10234422).

Almost surely, 2342208962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342208962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409376880).

342208962 is an abundant number, since it is smaller than the sum of its proper divisors (476544798).

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

342208962 is a wasteful number, since it uses less digits than its factorization.

342208962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 342208962 is about 18498.8908316147. The cubic root of 342208962 is about 699.4614647031.

The spelling of 342208962 in words is "three hundred forty-two million, two hundred eight thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 73 81 114 146 162 171 219 342 438 513 657 1026 1314 1387 1523 1539 1971 2774 3046 3078 3942 4161 4569 5913 8322 9138 11826 12483 13707 24966 27414 28937 37449 41121 57874 74898 82242 86811 111179 112347 123363 173622 222358 224694 246726 260433 333537 520866 667074 781299 1000611 1562598 2001222 2112401 2343897 3001833 4224802 4687794 6003666 6337203 9005499 12674406 18010998 19011609 38023218 57034827 114069654 171104481 342208962