Search a number
-
+
3366143400 = 2335224123279
BaseRepresentation
bin1100100010100011…
…0100010110101000
322200120222210122210
43020220310112220
523343213042100
61314004045120
7146262514104
oct31050642650
98616883583
103366143400
1114781113a4
1279b3937a0
13418500639
1423d0b6904
1514a7bac50
hexc8a345a8

3366143400 has 96 divisors (see below), whose sum is σ = 10478793600. Its totient is φ = 893875200.

The previous prime is 3366143393. The next prime is 3366143411. The reversal of 3366143400 is 43416633.

It is a super-2 number, since 2×33661434002 = 22661842778727120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 132961 + ... + 156239.

It is an arithmetic number, because the mean of its divisors is an integer number (109154100).

Almost surely, 23366143400 is an apocalyptic number.

3366143400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239396800).

3366143400 is an abundant number, since it is smaller than the sum of its proper divisors (7112650200).

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

3366143400 is a wasteful number, since it uses less digits than its factorization.

3366143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23539 (or 23530 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3366143400 is about 58018.4746438581. The cubic root of 3366143400 is about 1498.6867617168.

The spelling of 3366143400 in words is "three billion, three hundred sixty-six million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 964 1205 1446 1928 2410 2892 3615 4820 5784 6025 7230 9640 12050 14460 18075 23279 24100 28920 36150 46558 48200 69837 72300 93116 116395 139674 144600 186232 232790 279348 349185 465580 558696 581975 698370 931160 1163950 1396740 1745925 2327900 2793480 3491850 4655800 5610239 6983700 11220478 13967400 16830717 22440956 28051195 33661434 44881912 56102390 67322868 84153585 112204780 134645736 140255975 168307170 224409560 280511950 336614340 420767925 561023900 673228680 841535850 1122047800 1683071700 3366143400