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3309292890 = 2325195932801
BaseRepresentation
bin1100010100111111…
…1100110101011010
322112122000111102100
43011033330311122
523234134333030
61304213344230
7145002345141
oct30517746532
98478014370
103309292890
111449011802
12784338076
134097b7097
14235718758
151457db360
hexc53fcd5a

3309292890 has 96 divisors (see below), whose sum is σ = 9210801600. Its totient is φ = 821836800.

The previous prime is 3309292859. The next prime is 3309292937. The reversal of 3309292890 is 982929033.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84490 + ... + 117290.

It is an arithmetic number, because the mean of its divisors is an integer number (95945850).

Almost surely, 23309292890 is an apocalyptic number.

3309292890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3309292890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605400800).

3309292890 is an abundant number, since it is smaller than the sum of its proper divisors (5901508710).

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

3309292890 is a wasteful number, since it uses less digits than its factorization.

3309292890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32892 (or 32889 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3309292890 is about 57526.4538277826. The cubic root of 3309292890 is about 1490.2017488778.

The spelling of 3309292890 in words is "three billion, three hundred nine million, two hundred ninety-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 59 90 95 114 118 171 177 190 285 295 342 354 531 570 590 855 885 1062 1121 1710 1770 2242 2655 3363 5310 5605 6726 10089 11210 16815 20178 32801 33630 50445 65602 98403 100890 164005 196806 295209 328010 492015 590418 623219 984030 1246438 1476045 1869657 1935259 2952090 3116095 3739314 3870518 5608971 5805777 6232190 9348285 9676295 11217942 11611554 17417331 18696570 19352590 28044855 29028885 34834662 36769921 56089710 58057770 73539842 87086655 110309763 174173310 183849605 220619526 330929289 367699210 551548815 661858578 1103097630 1654646445 3309292890