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3355430040 = 233259320639
BaseRepresentation
bin1100011111111111…
…1100110010011000
322122211211111200200
43013333330302120
523332442230130
61312542302200
7146102453604
oct30777746230
98584744620
103355430040
111472064286
12797887960
1341621c181
1423b8c8504
151498a1760
hexc7ffcc98

3355430040 has 48 divisors (see below), whose sum is σ = 10905148800. Its totient is φ = 894781248.

The previous prime is 3355430027. The next prime is 3355430059. The reversal of 3355430040 is 400345533.

It is a happy number.

3355430040 is a `hidden beast` number, since 3 + 355 + 4 + 300 + 4 + 0 = 666.

It is a super-3 number, since 3×33554300403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3355429986 and 3355430013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4659960 + ... + 4660679.

It is an arithmetic number, because the mean of its divisors is an integer number (227190600).

Almost surely, 23355430040 is an apocalyptic number.

3355430040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3355430040 is an abundant number, since it is smaller than the sum of its proper divisors (7549718760).

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

3355430040 is a wasteful number, since it uses less digits than its factorization.

3355430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320656 (or 9320649 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3355430040 is about 57926.0739218532. The cubic root of 3355430040 is about 1497.0951247647.

Adding to 3355430040 its reverse (400345533), we get a palindrome (3755775573).

The spelling of 3355430040 in words is "three billion, three hundred fifty-five million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9320639 18641278 27961917 37282556 46603195 55923834 74565112 83885751 93206390 111847668 139809585 167771502 186412780 223695336 279619170 335543004 372825560 419428755 559238340 671086008 838857510 1118476680 1677715020 3355430040