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3140334112 = 251722411409
BaseRepresentation
bin1011101100101101…
…1011001000100000
322002212002111112211
42323023123020200
522412411142422
61235340131504
7140551254016
oct27313331040
98085074484
103140334112
111371700553
12737836b94
133b07aa986
1421b0d68b6
15135a64577
hexbb2db220

3140334112 has 72 divisors (see below), whose sum is σ = 6599536020. Its totient is φ = 1470627840.

The previous prime is 3140334103. The next prime is 3140334151. The reversal of 3140334112 is 2114330413.

It can be written as a sum of positive squares in 6 ways, for example, as 1855541776 + 1284792336 = 43076^2 + 35844^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2228064 + ... + 2229472.

Almost surely, 23140334112 is an apocalyptic number.

3140334112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299768010).

3140334112 is an abundant number, since it is smaller than the sum of its proper divisors (3459201908).

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

3140334112 is a wasteful number, since it uses less digits than its factorization.

3140334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3140334112 is about 56038.6840673476. The cubic root of 3140334112 is about 1464.3962865612.

Adding to 3140334112 its reverse (2114330413), we get a palindrome (5254664525).

The spelling of 3140334112 in words is "three billion, one hundred forty million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 241 272 289 482 544 578 964 1156 1409 1928 2312 2818 3856 4097 4624 5636 7712 8194 9248 11272 16388 22544 23953 32776 45088 47906 65552 69649 95812 131104 139298 191624 278596 339569 383248 407201 557192 679138 766496 814402 1114384 1358276 1628804 2228768 2716552 3257608 5433104 5772673 6515216 10866208 11545346 13030432 23090692 46181384 92362768 98135441 184725536 196270882 392541764 785083528 1570167056 3140334112