Search a number
-
+
332401381524 = 22329233371709
BaseRepresentation
bin1001101011001001010…
…10101001000010010100
31011202222121211202021200
410311210222221002110
520421224223202044
6412411511112500
733005134060452
oct4654452510224
91152877752250
10332401381524
11118a74a06863
1254508672730
1325464874404
14121344899d2
1589a7033369
hex4d64aa9094

332401381524 has 18 divisors (see below), whose sum is σ = 840236825610. Its totient is φ = 110800460496.

The previous prime is 332401381523. The next prime is 332401381547. The reversal of 332401381524 is 425183104233.

332401381524 is a `hidden beast` number, since 3 + 3 + 2 + 40 + 13 + 81 + 524 = 666.

It can be written as a sum of positive squares in only one way, i.e., 332363780100 + 37601424 = 576510^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3324013815242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9233371709 = 332401381524 / (3 + 3 + 2 + 4 + 0 + 1 + 3 + 8 + 1 + 5 + 2 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332401381523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4616685819 + ... + 4616685890.

It is an arithmetic number, because the mean of its divisors is an integer number (46679823645).

Almost surely, 2332401381524 is an apocalyptic number.

It is an amenable number.

332401381524 is an abundant number, since it is smaller than the sum of its proper divisors (507835444086).

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

332401381524 is a wasteful number, since it uses less digits than its factorization.

332401381524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233371719 (or 9233371714 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 332401381524 its reverse (425183104233), we get a palindrome (757584485757).

The spelling of 332401381524 in words is "three hundred thirty-two billion, four hundred one million, three hundred eighty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 9233371709 18466743418 27700115127 36933486836 55400230254 83100345381 110800460508 166200690762 332401381524