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3140766104 = 237232971093
BaseRepresentation
bin1011101100110100…
…0100100110011000
322002212220110010112
42323031010212120
522413014003404
61235353303452
7140555033330
oct27315044630
98085813115
103140766104
111371976073
12737a04b88
133b08cc4a8
1421b1aa0c0
15135aec56e
hexbb344998

3140766104 has 96 divisors (see below), whose sum is σ = 7114588320. Its totient is φ = 1273079808.

The previous prime is 3140766059. The next prime is 3140766121. The reversal of 3140766104 is 4016670413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2872982 + ... + 2874074.

It is an arithmetic number, because the mean of its divisors is an integer number (74110295).

Almost surely, 23140766104 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 3140766104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557294160).

3140766104 is an abundant number, since it is smaller than the sum of its proper divisors (3973822216).

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

3140766104 is a wasteful number, since it uses less digits than its factorization.

3140766104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3140766104 is about 56042.5383436546. The cubic root of 3140766104 is about 1464.4634321210.

The spelling of 3140766104 in words is "three billion, one hundred forty million, seven hundred sixty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 97 161 184 194 322 388 529 644 679 776 1058 1093 1288 1358 2116 2186 2231 2716 3703 4232 4372 4462 5432 7406 7651 8744 8924 14812 15302 15617 17848 25139 29624 30604 31234 50278 51313 61208 62468 100556 102626 106021 124936 175973 201112 205252 212042 351946 359191 410504 424084 578197 703892 718382 742147 848168 1156394 1407784 1436764 1484294 2312788 2438483 2873528 2968588 4047379 4625576 4876966 5937176 8094758 9753932 16189516 17069381 19507864 32379032 34138762 56085109 68277524 112170218 136555048 224340436 392595763 448680872 785191526 1570383052 3140766104