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3214145304 = 2332233752457
BaseRepresentation
bin1011111110010011…
…1111011100011000
322021222222111110200
42333210333130120
523040310122204
61250534142200
7142435533006
oct27744773430
98258874420
103214145304
1113aa334a37
127584b1960
133c2b82136
14226c2ba76
1513c294539
hexbf93f718

3214145304 has 96 divisors (see below), whose sum is σ = 9329130720. Its totient is φ = 997083648.

The previous prime is 3214145299. The next prime is 3214145323. The reversal of 3214145304 is 4035414123.

It is a happy number.

3214145304 is a `hidden beast` number, since 3 + 214 + 145 + 304 = 666.

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, 35044 + ... + 87500.

It is an arithmetic number, because the mean of its divisors is an integer number (97178445).

Almost surely, 23214145304 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 3214145304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664565360).

3214145304 is an abundant number, since it is smaller than the sum of its proper divisors (6114985416).

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

3214145304 is a wasteful number, since it uses less digits than its factorization.

3214145304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52529 (or 52522 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3214145304 is about 56693.4326355355. The cubic root of 3214145304 is about 1475.7807306419.

Adding to 3214145304 its reverse (4035414123), we get a palindrome (7249559427).

The spelling of 3214145304 in words is "three billion, two hundred fourteen million, one hundred forty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 37 46 69 72 74 92 111 138 148 184 207 222 276 296 333 414 444 552 666 828 851 888 1332 1656 1702 2553 2664 3404 5106 6808 7659 10212 15318 20424 30636 52457 61272 104914 157371 209828 314742 419656 472113 629484 944226 1206511 1258968 1888452 1940909 2413022 3619533 3776904 3881818 4826044 5822727 7239066 7763636 9652088 10858599 11645454 14478132 15527272 17468181 21717198 23290908 28956264 34936362 43434396 44640907 46581816 69872724 86868792 89281814 133922721 139745448 178563628 267845442 357127256 401768163 535690884 803536326 1071381768 1607072652 3214145304