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3257296042 = 2711213211701
BaseRepresentation
bin1100001000100110…
…0110010010101010
322102000011210011011
43002021212102222
523132331433132
61255115054134
7143501362630
oct30211462252
98360153134
103257296042
111421727800
1276aa4134a
133cbaacb10
1422c861350
15140e69b47
hexc22664aa

3257296042 has 96 divisors (see below), whose sum is σ = 6650646912. Its totient is φ = 1164240000.

The previous prime is 3257295997. The next prime is 3257296043. The reversal of 3257296042 is 2406927523.

It is a junction number, because it is equal to n+sod(n) for n = 3257295986 and 3257296004.

It is not an unprimeable number, because it can be changed into a prime (3257296043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4646292 + ... + 4646992.

It is an arithmetic number, because the mean of its divisors is an integer number (69277572).

Almost surely, 23257296042 is an apocalyptic number.

3257296042 is an abundant number, since it is smaller than the sum of its proper divisors (3393350870).

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

3257296042 is a wasteful number, since it uses less digits than its factorization.

3257296042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 3257296042 is about 57072.7259030090. The cubic root of 3257296042 is about 1482.3556414599.

The spelling of 3257296042 in words is "three billion, two hundred fifty-seven million, two hundred ninety-six thousand, forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 211 242 286 422 701 847 1001 1402 1477 1573 1694 2002 2321 2743 2954 3146 4642 4907 5486 7711 9113 9814 11011 15422 16247 18226 19201 22022 25531 30173 32494 38402 51062 53977 60346 63791 84821 100243 107954 127582 147911 169642 178717 200486 211211 295822 331903 357434 422422 593747 663806 701701 1035377 1102673 1187494 1403402 1627021 1922843 2070754 2205346 2323321 3254042 3845686 4646642 7718711 11389147 13459901 15437422 17897231 21151273 22778294 26919802 35794462 42302546 125280617 148058911 232664003 250561234 296117822 465328006 1628648021 3257296042