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442304040 = 233519193993
BaseRepresentation
bin11010010111010…
…000011000101000
31010211021101002010
4122113100120220
51401212212130
6111520035520
713650344103
oct3227203050
91124241063
10442304040
1120773a632
12104162ba0
1370833a89
1442a5773a
1528c6d0b0
hex1a5d0628

442304040 has 64 divisors (see below), whose sum is σ = 1396756800. Its totient is φ = 111739392.

The previous prime is 442304033. The next prime is 442304041. The reversal of 442304040 is 40403244.

It is a junction number, because it is equal to n+sod(n) for n = 442303998 and 442304016.

It is not an unprimeable number, because it can be changed into a prime (442304041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94717 + ... + 99276.

It is an arithmetic number, because the mean of its divisors is an integer number (21824325).

Almost surely, 2442304040 is an apocalyptic number.

442304040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442304040 is an abundant number, since it is smaller than the sum of its proper divisors (954452760).

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

442304040 is a wasteful number, since it uses less digits than its factorization.

442304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194026 (or 194022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 442304040 is about 21031.0256525924. The cubic root of 442304040 is about 761.9157807459.

Adding to 442304040 its reverse (40403244), we get a palindrome (482707284).

The spelling of 442304040 in words is "four hundred forty-two million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 193993 387986 581979 775972 969965 1163958 1551944 1939930 2327916 2909895 3685867 3879860 4655832 5819790 7371734 7759720 11057601 11639580 14743468 18429335 22115202 23279160 29486936 36858670 44230404 55288005 73717340 88460808 110576010 147434680 221152020 442304040