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42345360 = 24325103571
BaseRepresentation
bin1010000110001…
…0001110010000
32221200100220200
42201202032100
541320022420
64111335200
71022633601
oct241421620
987610820
1042345360
11219a2772
1212221500
138a08235
1458a3da8
153ab6b90
hex2862390

42345360 has 120 divisors (see below), whose sum is σ = 143841984. Its totient is φ = 11162880.

The previous prime is 42345341. The next prime is 42345389. The reversal of 42345360 is 6354324.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73875 + ... + 74445.

Almost surely, 242345360 is an apocalyptic number.

42345360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71920992).

42345360 is an abundant number, since it is smaller than the sum of its proper divisors (101496624).

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

42345360 is a wasteful number, since it uses less digits than its factorization.

42345360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42345360 is about 6507.3312502131. The cubic root of 42345360 is about 348.5528272281.

Adding to 42345360 its reverse (6354324), we get a palindrome (48699684).

The spelling of 42345360 in words is "forty-two million, three hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 144 180 206 240 309 360 412 515 571 618 720 824 927 1030 1142 1236 1545 1648 1713 1854 2060 2284 2472 2855 3090 3426 3708 4120 4568 4635 4944 5139 5710 6180 6852 7416 8240 8565 9136 9270 10278 11420 12360 13704 14832 17130 18540 20556 22840 24720 25695 27408 34260 37080 41112 45680 51390 58813 68520 74160 82224 102780 117626 137040 176439 205560 235252 294065 352878 411120 470504 529317 588130 705756 882195 941008 1058634 1176260 1411512 1764390 2117268 2352520 2646585 2823024 3528780 4234536 4705040 5293170 7057560 8469072 10586340 14115120 21172680 42345360