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3441056772 = 2232373233733
BaseRepresentation
bin1100110100011010…
…0101110000000100
322212210221210111010
43031012211300010
524021402304042
61325241442220
7151162333326
oct31506456004
98783853433
103441056772
11150642897a
128004a0370
1342ab9c68a
14249017616
1515216759c
hexcd1a5c04

3441056772 has 96 divisors (see below), whose sum is σ = 8541082368. Its totient is φ = 1076004864.

The previous prime is 3441056771. The next prime is 3441056803. The reversal of 3441056772 is 2776501443.

It is a self number, because there is not a number n which added to its sum of digits gives 3441056772.

It is not an unprimeable number, because it can be changed into a prime (3441056771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4694118 + ... + 4694850.

It is an arithmetic number, because the mean of its divisors is an integer number (88969608).

Almost surely, 23441056772 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 3441056772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270541184).

3441056772 is an abundant number, since it is smaller than the sum of its proper divisors (5100025596).

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

3441056772 is a wasteful number, since it uses less digits than its factorization.

3441056772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 3441056772 is about 58660.5214092067. The cubic root of 3441056772 is about 1509.7230274268.

The spelling of 3441056772 in words is "three billion, four hundred forty-one million, fifty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 233 276 292 438 466 699 733 876 932 1398 1466 1679 2199 2796 2932 3358 4398 5037 5359 6716 8796 10074 10718 16077 16859 17009 20148 21436 32154 33718 34018 50577 51027 53509 64308 67436 68036 101154 102054 107018 160527 170789 202308 204108 214036 321054 341578 391207 512367 642108 683156 782414 1024734 1173621 1230707 1564828 2049468 2347242 2461414 3692121 3928147 4694484 4922828 7384242 7856294 11784441 12467597 14768484 15712588 23568882 24935194 37402791 47137764 49870388 74805582 149611164 286754731 573509462 860264193 1147018924 1720528386 3441056772