Search a number
-
+
332648052 = 2231112719843
BaseRepresentation
bin10011110100111…
…100111001110100
3212011221021100020
4103310330321310
51140124214202
653001445140
711146314252
oct2364747164
9764837306
10332648052
11160853450
12934a07b0
1353bbc189
14322715d2
151e30c5bc
hex13d3ce74

332648052 has 48 divisors (see below), whose sum is σ = 853450752. Its totient is φ = 100003680.

The previous prime is 332648023. The next prime is 332648059. The reversal of 332648052 is 250846233.

It is a happy number.

332648052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3326480522 = 221309452998789408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332648059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6843 + ... + 26685.

It is an arithmetic number, because the mean of its divisors is an integer number (17780224).

Almost surely, 2332648052 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 332648052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426725376).

332648052 is an abundant number, since it is smaller than the sum of its proper divisors (520802700).

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

332648052 is a wasteful number, since it uses less digits than its factorization.

332648052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19988 (or 19986 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 332648052 is about 18238.6417257426. The cubic root of 332648052 is about 692.8858008299.

The spelling of 332648052 in words is "three hundred thirty-two million, six hundred forty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1397 1524 2794 4191 5588 8382 16764 19843 39686 59529 79372 119058 218273 238116 436546 654819 873092 1309638 2520061 2619276 5040122 7560183 10080244 15120366 27720671 30240732 55441342 83162013 110882684 166324026 332648052