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3146040704 = 27317310861
BaseRepresentation
bin1011101110000100…
…1100010110000000
322010020211102112002
42323201030112000
522420341300304
61240102323132
7140650622222
oct27341142600
98106742462
103146040704
111374948a44
127397294a8
133b1a28261
1421bb80412
151362e031e
hexbb84c580

3146040704 has 64 divisors (see below), whose sum is σ = 6558910080. Its totient is φ = 1501286400.

The previous prime is 3146040641. The next prime is 3146040719. The reversal of 3146040704 is 4070406413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31460407042 = 19795144222449631232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 284234 + ... + 295094.

It is an arithmetic number, because the mean of its divisors is an integer number (102482970).

Almost surely, 23146040704 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 3146040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279455040).

3146040704 is an abundant number, since it is smaller than the sum of its proper divisors (3412869376).

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

3146040704 is a wasteful number, since it uses less digits than its factorization.

3146040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 3146040704 is about 56089.5774988545. The cubic root of 3146040704 is about 1465.2827798474.

The spelling of 3146040704 in words is "three billion, one hundred forty-six million, forty thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 73 124 128 146 248 292 496 584 992 1168 1984 2263 2336 3968 4526 4672 9052 9344 10861 18104 21722 36208 43444 72416 86888 144832 173776 289664 336691 347552 673382 695104 792853 1346764 1390208 1585706 2693528 3171412 5387056 6342824 10774112 12685648 21548224 24578443 25371296 43096448 49156886 50742592 98313772 101485184 196627544 393255088 786510176 1573020352 3146040704