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3483265752 = 2332199243109
BaseRepresentation
bin1100111110011110…
…0110101011011000
322222202101020022200
43033213212223120
524113204001002
61333350250200
7152214161511
oct31747465330
98882336280
103483265752
11152823812a
12812656960
1343685a7c5
14250883a08
15155c03b1c
hexcf9e6ad8

3483265752 has 48 divisors (see below), whose sum is σ = 9481290000. Its totient is φ = 1155249216.

The previous prime is 3483265727. The next prime is 3483265757. The reversal of 3483265752 is 2575623843.

3483265752 is a `hidden beast` number, since 3 + 48 + 32 + 6 + 575 + 2 = 666.

It is a super-2 number, since 2×34832657522 = 24266280598112251008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3483265698 and 3483265707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483265757) 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 11 ways as a sum of consecutive naturals, for example, 107227 + ... + 135882.

It is an arithmetic number, because the mean of its divisors is an integer number (197526875).

Almost surely, 23483265752 is an apocalyptic number.

It is an amenable number.

3483265752 is an abundant number, since it is smaller than the sum of its proper divisors (5998024248).

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

3483265752 is a wasteful number, since it uses less digits than its factorization.

3483265752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243320 (or 243313 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 3483265752 is about 59019.1981646650. The cubic root of 3483265752 is about 1515.8708557198.

The spelling of 3483265752 in words is "three billion, four hundred eighty-three million, two hundred sixty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 243109 486218 729327 972436 1458654 1944872 2187981 2917308 4375962 5834616 8751924 17503848 48378691 96757382 145136073 193514764 290272146 387029528 435408219 580544292 870816438 1161088584 1741632876 3483265752