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3280258300 = 2252114172733
BaseRepresentation
bin1100001110000100…
…1100010011111100
322110121101101110011
43003201030103330
523204221231200
61301255153004
7144200510164
oct30341142374
98417341404
103280258300
111433690680
12776675764
1340378c657
1423191b5a4
15142ea35ba
hexc384c4fc

3280258300 has 72 divisors (see below), whose sum is σ = 7954772112. Its totient is φ = 1163712000.

The previous prime is 3280258253. The next prime is 3280258337. The reversal of 3280258300 is 38520823.

It is a super-3 number, since 3×32802583003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8734 + ... + 81466.

It is an arithmetic number, because the mean of its divisors is an integer number (110482946).

Almost surely, 23280258300 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 3280258300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977386056).

3280258300 is an abundant number, since it is smaller than the sum of its proper divisors (4674513812).

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

3280258300 is a wasteful number, since it uses less digits than its factorization.

3280258300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72799 (or 72792 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 3280258300 is about 57273.5392655282. The cubic root of 3280258300 is about 1485.8307692995.

The spelling of 3280258300 in words is "three billion, two hundred eighty million, two hundred fifty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 72733 145466 290932 363665 727330 800063 1454660 1600126 1818325 2982053 3200252 3636650 4000315 5964106 7273300 8000630 11928212 14910265 16001260 20001575 29820530 32802583 40003150 59641060 65605166 74551325 80006300 131210332 149102650 164012915 298205300 328025830 656051660 820064575 1640129150 3280258300