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3360985164 = 223419796911
BaseRepresentation
bin1100100001010100…
…1001000001001100
322200020021201220000
43020111021001030
523340403011124
61313301324300
7146200621365
oct31025110114
98606251800
103360985164
111475208999
12799706690
13417415824
1423c532b6c
1514a0ec6c9
hexc854904c

3360985164 has 120 divisors (see below), whose sum is σ = 9367142400. Its totient is φ = 1047777120.

The previous prime is 3360985163. The next prime is 3360985223. The reversal of 3360985164 is 4615890633.

3360985164 is a `hidden beast` number, since 33 + 609 + 8 + 5 + 1 + 6 + 4 = 666.

It is a super-2 number, since 2×33609851642 = 22592442545256213792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3360985163) 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 39 ways as a sum of consecutive naturals, for example, 482869 + ... + 489779.

It is an arithmetic number, because the mean of its divisors is an integer number (78059520).

Almost surely, 23360985164 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 3360985164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683571200).

3360985164 is an abundant number, since it is smaller than the sum of its proper divisors (6006157236).

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

3360985164 is a wasteful number, since it uses less digits than its factorization.

3360985164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3360985164 is about 57974.0042087831. The cubic root of 3360985164 is about 1497.9208474146.

The spelling of 3360985164 in words is "three billion, three hundred sixty million, nine hundred eighty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 79 81 108 114 158 162 171 228 237 316 324 342 474 513 684 711 948 1026 1422 1501 1539 2052 2133 2844 3002 3078 4266 4503 6004 6156 6399 6911 8532 9006 12798 13509 13822 18012 20733 25596 27018 27644 40527 41466 54036 62199 81054 82932 121581 124398 131309 162108 186597 243162 248796 262618 373194 393927 486324 525236 545969 559791 746388 787854 1091938 1119582 1181781 1575708 1637907 2183876 2239164 2363562 3275814 3545343 4727124 4913721 6551628 7090686 9827442 10373411 10636029 14181372 14741163 19654884 20746822 21272058 29482326 31120233 41493644 42544116 44223489 58964652 62240466 88446978 93360699 124480932 176893956 186721398 280082097 373442796 560164194 840246291 1120328388 1680492582 3360985164