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3313020040 = 2351133722343
BaseRepresentation
bin1100010101111000…
…1010110010001000
322112220000212002221
43011132022302020
523241113120130
61304425303424
7145046130361
oct30536126210
98486025087
103313020040
111450127aa0
12785634b74
1340a4c06b5
14236008b68
15145cc587a
hexc578ac88

3313020040 has 64 divisors (see below), whose sum is σ = 8156453760. Its totient is φ = 1201105920.

The previous prime is 3313020031. The next prime is 3313020041. The reversal of 3313020040 is 400203133.

It is a super-2 number, since 2×33130200402 = 21952203570883203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3313019996 and 3313020023.

It is not an unprimeable number, because it can be changed into a prime (3313020041) 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, 137109 + ... + 159451.

It is an arithmetic number, because the mean of its divisors is an integer number (127444590).

Almost surely, 23313020040 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 3313020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078226880).

3313020040 is an abundant number, since it is smaller than the sum of its proper divisors (4843433720).

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

3313020040 is a wasteful number, since it uses less digits than its factorization.

3313020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22702 (or 22698 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3313020040 is about 57558.8398076264. The cubic root of 3313020040 is about 1490.7609943886.

Adding to 3313020040 its reverse (400203133), we get a palindrome (3713223173).

The spelling of 3313020040 in words is "three billion, three hundred thirteen million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 337 440 674 1348 1685 2696 3370 3707 6740 7414 13480 14828 18535 22343 29656 37070 44686 74140 89372 111715 148280 178744 223430 245773 446860 491546 893720 983092 1228865 1966184 2457730 4915460 7529591 9830920 15059182 30118364 37647955 60236728 75295910 82825501 150591820 165651002 301183640 331302004 414127505 662604008 828255010 1656510020 3313020040