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3366106120 = 23513192314813
BaseRepresentation
bin1100100010100010…
…1011010000001000
322200120220220112001
43020220223100020
523343210343440
61314003200344
7146262300316
oct31050532010
98616826461
103366106120
111478096393
1279b3760b4
134184b9690
1423d0a70b6
1514a7aeb9a
hexc8a2b408

3366106120 has 128 divisors (see below), whose sum is σ = 8959507200. Its totient is φ = 1126185984.

The previous prime is 3366106111. The next prime is 3366106127. The reversal of 3366106120 is 216016633.

It is a super-2 number, since 2×33661061202 = 22661340822202908800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3366106127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219834 + ... + 234646.

It is an arithmetic number, because the mean of its divisors is an integer number (69996150).

Almost surely, 23366106120 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 3366106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479753600).

3366106120 is an abundant number, since it is smaller than the sum of its proper divisors (5593401080).

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

3366106120 is a wasteful number, since it uses less digits than its factorization.

3366106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14879 (or 14875 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3366106120 is about 58018.1533659940. The cubic root of 3366106120 is about 1498.6812290501.

The spelling of 3366106120 in words is "three billion, three hundred sixty-six million, one hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 23 26 38 40 46 52 65 76 92 95 104 115 130 152 184 190 230 247 260 299 380 437 460 494 520 598 760 874 920 988 1196 1235 1495 1748 1976 2185 2392 2470 2990 3496 4370 4940 5681 5980 8740 9880 11362 11960 14813 17480 22724 28405 29626 45448 56810 59252 74065 113620 118504 148130 192569 227240 281447 296260 340699 385138 562894 592520 681398 770276 962845 1125788 1362796 1407235 1540552 1703495 1925690 2251576 2725592 2814470 3406990 3658811 3851380 4429087 5628940 6473281 6813980 7317622 7702760 8858174 11257880 12946562 13627960 14635244 17716348 18294055 22145435 25893124 29270488 32366405 35432696 36588110 44290870 51786248 64732810 73176220 84152653 88581740 129465620 146352440 168305306 177163480 258931240 336610612 420763265 673221224 841526530 1683053060 3366106120