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3224284380 = 223552922877
BaseRepresentation
bin1100000000101110…
…1010110011011100
322022201001121200000
43000023222303130
523100404100010
61251535334300
7142620652002
oct30013526334
98281047600
103224284380
11140502a639
1275b981390
133c4cc20a5
1422830aa72
1513d0e87c0
hexc02eacdc

3224284380 has 144 divisors (see below), whose sum is σ = 10492765920. Its totient is φ = 830124288.

The previous prime is 3224284339. The next prime is 3224284387. The reversal of 3224284380 is 834824223.

It is a happy number.

3224284380 is a `hidden beast` number, since 32 + 242 + 8 + 4 + 380 = 666.

It is a super-2 number, since 2×32242843802 = 20792019526223968800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224284387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129502 + ... + 152378.

It is an arithmetic number, because the mean of its divisors is an integer number (72866430).

Almost surely, 23224284380 is an apocalyptic number.

3224284380 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 3224284380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246382960).

3224284380 is an abundant number, since it is smaller than the sum of its proper divisors (7268481540).

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

3224284380 is a wasteful number, since it uses less digits than its factorization.

3224284380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22930 (or 22916 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3224284380 is about 56782.7824256614. The cubic root of 3224284380 is about 1477.3308935783.

The spelling of 3224284380 in words is "three billion, two hundred twenty-four million, two hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 870 972 1044 1215 1305 1566 1620 1740 2349 2430 2610 3132 3915 4698 4860 5220 7047 7830 9396 11745 14094 15660 22877 23490 28188 35235 45754 46980 68631 70470 91508 114385 137262 140940 205893 228770 274524 343155 411786 457540 617679 663433 686310 823572 1029465 1235358 1326866 1372620 1853037 1990299 2058930 2470716 2653732 3088395 3317165 3706074 3980598 4117860 5559111 5970897 6176790 6634330 7412148 7961196 9265185 9951495 11118222 11941794 12353580 13268660 17912691 18530370 19902990 22236444 23883588 27795555 29854485 35825382 37060740 39805980 53738073 55591110 59708970 71650764 89563455 107476146 111182220 119417940 161214219 179126910 214952292 268690365 322428438 358253820 537380730 644856876 806071095 1074761460 1612142190 3224284380