Search a number
-
+
3312132320 = 25572957261
BaseRepresentation
bin1100010101101011…
…0010000011100000
322112211100202101102
43011122302003200
523240401213240
61304354253532
7145035442310
oct30532620340
98484322342
103312132320
11144a681042
127852872a8
1340a26c613
14235c57440
15145b9c815
hexc56b20e0

3312132320 has 48 divisors (see below), whose sum is σ = 8942760288. Its totient is φ = 1135587840.

The previous prime is 3312132281. The next prime is 3312132353. The reversal of 3312132320 is 232312133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3312132292 and 3312132301.

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 7 ways as a sum of consecutive naturals, for example, 1477511 + ... + 1479750.

It is an arithmetic number, because the mean of its divisors is an integer number (186307506).

Almost surely, 23312132320 is an apocalyptic number.

It is an amenable number.

3312132320 is an abundant number, since it is smaller than the sum of its proper divisors (5630627968).

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

3312132320 is a wasteful number, since it uses less digits than its factorization.

3312132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957283 (or 2957275 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3312132320 is about 57551.1278777402. The cubic root of 3312132320 is about 1490.6278332496.

Adding to 3312132320 its reverse (232312133), we get a palindrome (3544444453).

The spelling of 3312132320 in words is "three billion, three hundred twelve million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2957261 5914522 11829044 14786305 20700827 23658088 29572610 41401654 47316176 59145220 82803308 94632352 103504135 118290440 165606616 207008270 236580880 331213232 414016540 473161760 662426464 828033080 1656066160 3312132320