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3327374040 = 2335193143669
BaseRepresentation
bin1100011001010011…
…1011001011011000
322120220001010002120
43012110323023120
523303301432130
61310101101240
7145312132644
oct30624731330
98526033076
103327374040
111458241401
1278a3b7820
13410477ca3
14237ca3c24
151471ad910
hexc653b2d8

3327374040 has 64 divisors (see below), whose sum is σ = 10033912800. Its totient is φ = 882696192.

The previous prime is 3327374021. The next prime is 3327374047. The reversal of 3327374040 is 404737233.

3327374040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33273740402 = 22142836004131843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3327373992 and 3327374010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3327374047) 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, 48675 + ... + 94994.

Almost surely, 23327374040 is an apocalyptic number.

3327374040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3327374040 is an abundant number, since it is smaller than the sum of its proper divisors (6706538760).

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

3327374040 is a wasteful number, since it uses less digits than its factorization.

3327374040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143876 (or 143872 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 33.

The square root of 3327374040 is about 57683.3948376827. The cubic root of 3327374040 is about 1492.9108509808.

The spelling of 3327374040 in words is "three billion, three hundred twenty-seven million, three hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3860 4632 5790 7720 11580 23160 143669 287338 431007 574676 718345 862014 1149352 1436690 1724028 2155035 2873380 3448056 4310070 5746760 8620140 17240280 27728117 55456234 83184351 110912468 138640585 166368702 221824936 277281170 332737404 415921755 554562340 665474808 831843510 1109124680 1663687020 3327374040