Search a number
-
+
3288362142 = 231329250129
BaseRepresentation
bin1100010000000000…
…0110110010011110
322111011122002211110
43010000012302132
523213310042032
61302145002450
7144326421432
oct30400066236
98434562743
103288362142
11143821616a
12779323426
13405369120
14232a2a9c2
15143a547cc
hexc4006c9e

3288362142 has 48 divisors (see below), whose sum is σ = 7335422640. Its totient is φ = 976894464.

The previous prime is 3288362101. The next prime is 3288362153. The reversal of 3288362142 is 2412638823.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3288362142.

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, 40534 + ... + 90662.

It is an arithmetic number, because the mean of its divisors is an integer number (152821305).

Almost surely, 23288362142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3288362142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667711320).

3288362142 is an abundant number, since it is smaller than the sum of its proper divisors (4047060498).

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

3288362142 is a wasteful number, since it uses less digits than its factorization.

3288362142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50205 (or 50176 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 3288362142 is about 57344.2424485667. The cubic root of 3288362142 is about 1487.0533392530.

The spelling of 3288362142 in words is "three billion, two hundred eighty-eight million, three hundred sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 841 1131 1682 2262 2523 5046 10933 21866 32799 50129 65598 100258 150387 300774 651677 1303354 1453741 1955031 2907482 3910062 4361223 8722446 18898633 37797266 42158489 56695899 84316978 113391798 126475467 252950934 548060357 1096120714 1644181071 3288362142