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3319014690 = 2345311311009
BaseRepresentation
bin1100010111010100…
…0010010100100010
322120022022102020000
43011311002110202
523244131432230
61305202000430
7145151105445
oct30565022442
98508272200
103319014690
111453551952
12787646116
1340b80c124
14236b2965c
151465abb60
hexc5d42522

3319014690 has 160 divisors (see below), whose sum is σ = 9291870720. Its totient is φ = 849139200.

The previous prime is 3319014689. The next prime is 3319014731. The reversal of 3319014690 is 964109133.

3319014690 is a `hidden beast` number, since 3 + 3 + 190 + 1 + 469 + 0 = 666.

It is a super-2 number, since 2×33190146902 = 22031717024871592200, which contains 22 as substring.

It is a Curzon 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 79 ways as a sum of consecutive naturals, for example, 3288906 + ... + 3289914.

It is an arithmetic number, because the mean of its divisors is an integer number (58074192).

Almost surely, 23319014690 is an apocalyptic number.

3319014690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3319014690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645935360).

3319014690 is an abundant number, since it is smaller than the sum of its proper divisors (5972856030).

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

3319014690 is a wasteful number, since it uses less digits than its factorization.

3319014690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3319014690 is about 57610.8903767335. The cubic root of 3319014690 is about 1491.6595910043.

The spelling of 3319014690 in words is "three billion, three hundred nineteen million, fourteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 131 135 155 162 186 262 270 279 310 393 405 465 558 655 786 810 837 930 1009 1179 1310 1395 1674 1965 2018 2358 2511 2790 3027 3537 3930 4061 4185 5022 5045 5895 6054 7074 8122 8370 9081 10090 10611 11790 12183 12555 15135 17685 18162 20305 21222 24366 25110 27243 30270 31279 35370 36549 40610 45405 53055 54486 60915 62558 73098 81729 90810 93837 106110 109647 121830 132179 136215 156395 163458 182745 187674 219294 264358 272430 281511 312790 328941 365490 396537 408645 469185 548235 563022 657882 660895 793074 817290 844533 938370 1096470 1189611 1321790 1407555 1644705 1689066 1982685 2379222 2533599 2815110 3289410 3568833 3965370 4097549 4222665 5067198 5948055 7137666 8195098 8445330 10706499 11896110 12292647 12667995 17844165 20487745 21412998 24585294 25335990 35688330 36877941 40975490 53532495 61463235 73755882 107064990 110633823 122926470 184389705 221267646 331901469 368779410 553169115 663802938 1106338230 1659507345 3319014690