| Base | Representation |
|---|---|
| bin | 1100101010111110… |
| … | …0001000110000000 |
| 3 | 22210001102202122000 |
| 4 | 3022233201012000 |
| 5 | 23431233011302 |
| 6 | 1321304544000 |
| 7 | 150201611241 |
| oct | 31257410600 |
| 9 | 8701382560 |
| 10 | 3401453952 |
| 11 | 1496039776 |
| 12 | 7ab182000 |
| 13 | 422914860 |
| 14 | 243a68cc8 |
| 15 | 14d94331c |
| hex | cabe1180 |
3401453952 has 128 divisors (see below), whose sum is σ = 10811388000. Its totient is φ = 1046587392.
The previous prime is 3401453911. The next prime is 3401453953. The reversal of 3401453952 is 2593541043.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-3 number, since 3×34014539523 (a number of 30 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3401453953) 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 15 ways as a sum of consecutive naturals, for example, 7074 + ... + 82782.
Almost surely, 23401453952 is an apocalyptic number.
3401453952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3401453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405694000).
3401453952 is an abundant number, since it is smaller than the sum of its proper divisors (7409934048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3401453952 is a wasteful number, since it uses less digits than its factorization.
3401453952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75745 (or 75727 counting only the distinct ones).
The product of its (nonzero) digits is 64800, while the sum is 36.
The square root of 3401453952 is about 58321.9851513990. The cubic root of 3401453952 is about 1503.9089087731.
Adding to 3401453952 its reverse (2593541043), we get a palindrome (5994994995).
The spelling of 3401453952 in words is "three billion, four hundred one million, four hundred fifty-three thousand, nine hundred fifty-two".
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