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3315387880 = 2357291792281
BaseRepresentation
bin1100010110011100…
…1100110111101000
322120001111011011201
43011213030313220
523242214403010
61304552133544
7145105221610
oct30547146750
98501434151
103315387880
1114514a4a92
127863972b4
1340ab3c39c
14236463a40
151460e223a
hexc59ccde8

3315387880 has 128 divisors (see below), whose sum is σ = 8872416000. Its totient is φ = 1090897920.

The previous prime is 3315387871. The next prime is 3315387883. The reversal of 3315387880 is 887835133.

It is a self number, because there is not a number n which added to its sum of digits gives 3315387880.

It is not an unprimeable number, because it can be changed into a prime (3315387883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452340 + ... + 1454620.

It is an arithmetic number, because the mean of its divisors is an integer number (69315750).

Almost surely, 23315387880 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 3315387880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436208000).

3315387880 is an abundant number, since it is smaller than the sum of its proper divisors (5557028120).

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

3315387880 is a wasteful number, since it uses less digits than its factorization.

3315387880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 3315387880 is about 57579.4049986625. The cubic root of 3315387880 is about 1491.1160624594.

The spelling of 3315387880 in words is "three billion, three hundred fifteen million, three hundred eighty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 179 203 232 280 290 358 406 580 716 812 895 1015 1160 1253 1432 1624 1790 2030 2281 2506 3580 4060 4562 5012 5191 6265 7160 8120 9124 10024 10382 11405 12530 15967 18248 20764 22810 25060 25955 31934 36337 41528 45620 50120 51910 63868 66149 72674 79835 91240 103820 127736 132298 145348 159670 181685 207640 264596 290696 319340 330745 363370 408299 463043 529192 638680 661490 726740 816598 926086 1322980 1453480 1633196 1852172 2041495 2315215 2645960 2858093 3266392 3704344 4082990 4630430 5716186 8165980 9260860 11432372 11840671 14290465 16331960 18521720 22864744 23681342 28580930 47362684 57161860 59203355 82884697 94725368 114323720 118406710 165769394 236813420 331538788 414423485 473626840 663077576 828846970 1657693940 3315387880