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3342043432 = 237213976761
BaseRepresentation
bin1100011100110011…
…1000100100101000
322121220122101201101
43013030320210220
523321030342212
61311343331144
7145550620600
oct30714704450
98556571641
103342043432
111465550772
127932b0ab4
13413512cc0
14239c01c00
1514860a157
hexc7338928

3342043432 has 96 divisors (see below), whose sum is σ = 7932231720. Its totient is φ = 1308303360.

The previous prime is 3342043421. The next prime is 3342043469. The reversal of 3342043432 is 2343402433.

It can be written as a sum of positive squares in 4 ways, for example, as 2699218116 + 642825316 = 51954^2 + 25354^2 .

It is a super-2 number, since 2×33420434322 = 22338508602748677248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3342043432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490932 + ... + 497692.

Almost surely, 23342043432 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 3342043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966115860).

3342043432 is an abundant number, since it is smaller than the sum of its proper divisors (4590188288).

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

3342043432 is a wasteful number, since it uses less digits than its factorization.

3342043432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

The square root of 3342043432 is about 57810.4093740911. The cubic root of 3342043432 is about 1495.1015664602.

Adding to 3342043432 its reverse (2343402433), we get a palindrome (5685445865).

The spelling of 3342043432 in words is "three billion, three hundred forty-two million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 97 98 104 182 194 196 364 388 392 637 679 728 776 1261 1274 1358 2522 2548 2716 4753 5044 5096 5432 6761 8827 9506 10088 13522 17654 19012 27044 35308 38024 47327 54088 61789 70616 87893 94654 123578 175786 189308 247156 331289 351572 378616 494312 615251 655817 662578 703144 1230502 1311634 1325156 2461004 2623268 2650312 4306757 4590719 4922008 5246536 8525621 8613514 9181438 17051242 17227028 18362876 32135033 34102484 34454056 36725752 59679347 64270066 68204968 119358694 128540132 238717388 257080264 417755429 477434776 835510858 1671021716 3342043432