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3421290152 = 237211377237
BaseRepresentation
bin1100101111101100…
…1011111010101000
322211102202112210002
43023323023322220
524001322241102
61323254042132
7150532325600
oct31373137250
98742675702
103421290152
1114a6257a25
127b5949348
13426a6b557
1424654dc00
15150560902
hexcbecbea8

3421290152 has 48 divisors (see below), whose sum is σ = 7528387860. Its totient is φ = 1453272576.

The previous prime is 3421290151. The next prime is 3421290161. The reversal of 3421290152 is 2510921243.

It can be written as a sum of positive squares in 2 ways, for example, as 1980784036 + 1440506116 = 44506^2 + 37954^2 .

It is not an unprimeable number, because it can be changed into a prime (3421290151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5678 + ... + 82914.

Almost surely, 23421290152 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 3421290152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764193930).

3421290152 is an abundant number, since it is smaller than the sum of its proper divisors (4107097708).

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

3421290152 is a wasteful number, since it uses less digits than its factorization.

3421290152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77370 (or 77359 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 3421290152 is about 58491.7955956218. The cubic root of 3421290152 is about 1506.8266840862.

The spelling of 3421290152 in words is "three billion, four hundred twenty-one million, two hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 392 452 791 904 1582 3164 5537 6328 11074 22148 44296 77237 154474 308948 540659 617896 1081318 2162636 3784613 4325272 7569226 8727781 15138452 17455562 30276904 34911124 61094467 69822248 122188934 244377868 427661269 488755736 855322538 1710645076 3421290152