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3146930304 = 27375772029
BaseRepresentation
bin1011101110010010…
…0101100010000000
322010022111121211020
42323210211202000
522421103232204
61240133345440
7140661315630
oct27344454200
98108447736
103146930304
1113753a6351
12739a98280
133b1c7a14b
1421bd326c0
15136418bd9
hexbb925880

3146930304 has 128 divisors (see below), whose sum is σ = 9574454400. Its totient is φ = 897122304.

The previous prime is 3146930239. The next prime is 3146930329. The reversal of 3146930304 is 4030396413.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1549962 + ... + 1551990.

It is an arithmetic number, because the mean of its divisors is an integer number (74800425).

Almost surely, 23146930304 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 3146930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787227200).

3146930304 is an abundant number, since it is smaller than the sum of its proper divisors (6427524096).

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

3146930304 is a wasteful number, since it uses less digits than its factorization.

3146930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3146930304 is about 56097.5071103877. The cubic root of 3146930304 is about 1465.4208785815.

The spelling of 3146930304 in words is "three billion, one hundred forty-six million, nine hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 577 672 896 1154 1344 1731 2029 2308 2688 3462 4039 4058 4616 6087 6924 8078 8116 9232 12117 12174 13848 14203 16156 16232 18464 24234 24348 27696 28406 32312 32464 36928 42609 48468 48696 55392 56812 64624 64928 73856 85218 96936 97392 110784 113624 129248 129856 170436 193872 194784 221568 227248 258496 259712 340872 387744 389568 454496 516992 681744 775488 779136 908992 1170733 1363488 1550976 1817984 2341466 2726976 3512199 4682932 5453952 7024398 8195131 9365864 14048796 16390262 18731728 24585393 28097592 32780524 37463456 49170786 56195184 65561048 74926912 98341572 112390368 131122096 149853824 196683144 224780736 262244192 393366288 449561472 524488384 786732576 1048976768 1573465152 3146930304