Search a number
-
+
332465652 = 22327321733
BaseRepresentation
bin10011110100010…
…000010111110100
3212011121000010200
4103310100113310
51140102400102
652553520500
711144624421
oct2364202764
9764530120
10332465652
11160739402
1293413130
1353b5714c
1432224d48
151e2c351c
hex13d105f4

332465652 has 54 divisors (see below), whose sum is σ = 852560982. Its totient is φ = 109240704.

The previous prime is 332465633. The next prime is 332465659. The reversal of 332465652 is 256564233.

It can be written as a sum of positive squares in 3 ways, for example, as 58430736 + 274034916 = 7644^2 + 16554^2 .

It is a super-2 number, since 2×3324656522 = 221066819519570208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332465659) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 190978 + ... + 192710.

Almost surely, 2332465652 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 332465652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426280491).

332465652 is an abundant number, since it is smaller than the sum of its proper divisors (520095330).

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

332465652 is a wasteful number, since it uses less digits than its factorization.

332465652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1811 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 332465652 is about 18233.6406677328. The cubic root of 332465652 is about 692.7591349479.

The spelling of 332465652 in words is "three hundred thirty-two million, four hundred sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 1733 2628 3466 5199 5329 6932 10398 10658 15597 15987 20796 21316 31194 31974 47961 62388 63948 95922 126509 191844 253018 379527 506036 759054 1138581 1518108 2277162 4554324 9235157 18470314 27705471 36940628 55410942 83116413 110821884 166232826 332465652