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42334180 = 22571272381
BaseRepresentation
bin1010000101111…
…1011111100100
32221122210120121
42201133133210
541314143210
64111211324
71022556160
oct241373744
987583517
1042334180
1121995329
1212216b44
138a03115
14589dca0
153ab36da
hex285f7e4

42334180 has 48 divisors (see below), whose sum is σ = 102445056. Its totient is φ = 14394240.

The previous prime is 42334177. The next prime is 42334213. The reversal of 42334180 is 8143324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16590 + ... + 18970.

It is an arithmetic number, because the mean of its divisors is an integer number (2134272).

Almost surely, 242334180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42334180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51222528).

42334180 is an abundant number, since it is smaller than the sum of its proper divisors (60110876).

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

42334180 is a wasteful number, since it uses less digits than its factorization.

42334180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42334180 is about 6506.4721623934. The cubic root of 42334180 is about 348.5221496159.

The spelling of 42334180 in words is "forty-two million, three hundred thirty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1778 2381 2540 3556 4445 4762 8890 9524 11905 16667 17780 23810 33334 47620 66668 83335 166670 302387 333340 604774 1209548 1511935 2116709 3023870 4233418 6047740 8466836 10583545 21167090 42334180