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3411664060 = 2257235319991
BaseRepresentation
bin1100101101011001…
…1101110010111100
322210202122111021011
43023112131302330
523441341222220
61322311445004
7150354444310
oct31326356274
98722574234
103411664060
1114a0882782
127b2686764
13424a7ac3c
14245165b40
1514e7ad65a
hexcb59dcbc

3411664060 has 96 divisors (see below), whose sum is σ = 8705636352. Its totient is φ = 1097690880.

The previous prime is 3411664051. The next prime is 3411664063. The reversal of 3411664060 is 604661143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411664063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160665 + ... + 180655.

It is an arithmetic number, because the mean of its divisors is an integer number (90683712).

Almost surely, 23411664060 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 3411664060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352818176).

3411664060 is an abundant number, since it is smaller than the sum of its proper divisors (5293972292).

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

3411664060 is a wasteful number, since it uses less digits than its factorization.

3411664060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20083 (or 20081 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3411664060 is about 58409.4518036251. The cubic root of 3411664060 is about 1505.4121614456.

The spelling of 3411664060 in words is "three billion, four hundred eleven million, six hundred sixty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 53 70 92 106 115 140 161 212 230 265 322 371 460 530 644 742 805 1060 1219 1484 1610 1855 2438 3220 3710 4876 6095 7420 8533 12190 17066 19991 24380 34132 39982 42665 79964 85330 99955 139937 170660 199910 279874 399820 459793 559748 699685 919586 1059523 1399370 1839172 2119046 2298965 2798740 3218551 4238092 4597930 5297615 6437102 7416661 9195860 10595230 12874204 14833322 16092755 21190460 24369029 29666644 32185510 37083305 48738058 64371020 74166610 97476116 121845145 148333220 170583203 243690290 341166406 487380580 682332812 852916015 1705832030 3411664060