[go: up one dir, main page]

Search a number
-
+
3320200332 = 2232349264263
BaseRepresentation
bin1100010111100110…
…0011110010001100
322120101112122121200
43011321203302030
523244432402312
61305243225500
7145164144231
oct30571436214
98511478550
103320200332
111454191719
12787b18290
1340bb359a7
14236d57788
151467430dc
hexc5e63c8c

3320200332 has 36 divisors (see below), whose sum is σ = 8416808400. Its totient is φ = 1103558112.

The previous prime is 3320200327. The next prime is 3320200333. The reversal of 3320200332 is 2330020233.

3320200332 is a `hidden beast` number, since 332 + 0 + 2 + 0 + 0 + 332 = 666.

3320200332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-5 number, since 5×33202003325 (a number of 49 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3320200333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119568 + ... + 144695.

Almost surely, 23320200332 is an apocalyptic number.

It is an amenable number.

3320200332 is an abundant number, since it is smaller than the sum of its proper divisors (5096608068).

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

3320200332 is a wasteful number, since it uses less digits than its factorization.

3320200332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264622 (or 264617 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3320200332 is about 57621.1795436366. The cubic root of 3320200332 is about 1491.8371902693.

Adding to 3320200332 its reverse (2330020233), we get a palindrome (5650220565).

The spelling of 3320200332 in words is "three billion, three hundred twenty million, two hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 349 698 1047 1396 2094 3141 4188 6282 12564 264263 528526 792789 1057052 1585578 2378367 3171156 4756734 9513468 92227787 184455574 276683361 368911148 553366722 830050083 1106733444 1660100166 3320200332