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3405161504 = 25377339397
BaseRepresentation
bin1100101011110110…
…1010010000100000
322210022102010102202
43022331222100200
523433210132004
61321520232332
7150245252363
oct31275522040
98708363382
103405161504
111498141268
127b046b6a8
13423612284
142443520da
1514de26b1e
hexcaf6a420

3405161504 has 48 divisors (see below), whose sum is σ = 6979592088. Its totient is φ = 1633830912.

The previous prime is 3405161503. The next prime is 3405161519. The reversal of 3405161504 is 4051615043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3404489104 + 672400 = 58348^2 + 820^2 .

It is not an unprimeable number, because it can be changed into a prime (3405161503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66734 + ... + 106130.

Almost surely, 23405161504 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 3405161504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489796044).

3405161504 is an abundant number, since it is smaller than the sum of its proper divisors (3574430584).

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

3405161504 is a wasteful number, since it uses less digits than its factorization.

3405161504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39517 (or 39509 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 3405161504 is about 58353.7616953697. The cubic root of 3405161504 is about 1504.4551257658.

Adding to 3405161504 its reverse (4051615043), we get a palindrome (7456776547).

The spelling of 3405161504 in words is "three billion, four hundred five million, one hundred sixty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 584 592 1168 1184 2336 2701 5402 10804 21608 39397 43216 78794 86432 157588 315176 630352 1260704 1457689 2875981 2915378 5751962 5830756 11503924 11661512 23007848 23323024 46015696 46646048 92031392 106411297 212822594 425645188 851290376 1702580752 3405161504