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3323143120 = 245116535783
BaseRepresentation
bin1100011000010011…
…0010001111010000
322120121002011100211
43012010302033100
523301211034440
61305430253504
7145231151623
oct30604621720
98517064324
103323143120
111455911680
12788ab7294
1340c62629b
142374c1dba
15146b24eea
hexc61323d0

3323143120 has 80 divisors (see below), whose sum is σ = 8443066752. Its totient is φ = 1206356480.

The previous prime is 3323143091. The next prime is 3323143133. The reversal of 3323143120 is 213413233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33231431202 = 22086560392006668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3323143091 and 3323143100.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 571749 + ... + 577531.

Almost surely, 23323143120 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 3323143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221533376).

3323143120 is an abundant number, since it is smaller than the sum of its proper divisors (5119923632).

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

3323143120 is a wasteful number, since it uses less digits than its factorization.

3323143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3323143120 is about 57646.7095331555. The cubic root of 3323143120 is about 1492.2778126956.

Adding to 3323143120 its reverse (213413233), we get a palindrome (3536556353).

The spelling of 3323143120 in words is "three billion, three hundred twenty-three million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 653 880 1306 2612 3265 5224 5783 6530 7183 10448 11566 13060 14366 23132 26120 28732 28915 35915 46264 52240 57464 57830 63613 71830 92528 114928 115660 127226 143660 231320 254452 287320 318065 462640 508904 574640 636130 1017808 1272260 2544520 3776299 5089040 7552598 15105196 18881495 30210392 37762990 41539289 60420784 75525980 83078578 151051960 166157156 207696445 302103920 332314312 415392890 664628624 830785780 1661571560 3323143120