Search a number
-
+
3453089772 = 2231123536737
BaseRepresentation
bin1100110111010001…
…1111011111101100
322220122121010122210
43031310133133230
524032442333042
61330351410420
7151366531056
oct31564373754
98818533583
103453089772
1115121a7500
12804523a10
134305236b2
1424a86a8d6
15153242a9c
hexcdd1f7ec

3453089772 has 72 divisors (see below), whose sum is σ = 8882678448. Its totient is φ = 1043271680.

The previous prime is 3453089771. The next prime is 3453089791. The reversal of 3453089772 is 2779803543.

It is not an unprimeable number, because it can be changed into a prime (3453089771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509188 + ... + 515924.

It is an arithmetic number, because the mean of its divisors is an integer number (123370534).

Almost surely, 23453089772 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 3453089772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441339224).

3453089772 is an abundant number, since it is smaller than the sum of its proper divisors (5429588676).

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

3453089772 is a wasteful number, since it uses less digits than its factorization.

3453089772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 3453089772 is about 58762.9966220240. The cubic root of 3453089772 is about 1511.4807590399.

The spelling of 3453089772 in words is "three billion, four hundred fifty-three million, eighty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 353 363 484 706 726 1059 1412 1452 2118 3883 4236 6737 7766 11649 13474 15532 20211 23298 26948 40422 42713 46596 74107 80844 85426 128139 148214 170852 222321 256278 296428 444642 512556 815177 889284 1630354 2378161 2445531 3260708 4756322 4891062 7134483 9512644 9782124 14268966 26159771 28537932 52319542 78479313 104639084 156958626 287757481 313917252 575514962 863272443 1151029924 1726544886 3453089772