Base | Representation |
---|---|
bin | 10101001011110… |
… | …100011110000000 |
3 | 220202210012121220 |
4 | 111023310132000 |
5 | 1211441420112 |
6 | 55133515040 |
7 | 11544010002 |
oct | 2513643600 |
9 | 822705556 |
10 | 355420032 |
11 | 172697370 |
12 | 9b042a80 |
13 | 58833216 |
14 | 352bc372 |
15 | 2130998c |
hex | 152f4780 |
355420032 has 64 divisors (see below), whose sum is σ = 1029922560. Its totient is φ = 107701760.
The previous prime is 355420019. The next prime is 355420123. The reversal of 355420032 is 230024553.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 355419984 and 355420011.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 37848 + ... + 46295.
It is an arithmetic number, because the mean of its divisors is an integer number (16092540).
Almost surely, 2355420032 is an apocalyptic number.
355420032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
355420032 is an abundant number, since it is smaller than the sum of its proper divisors (674502528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
355420032 is a wasteful number, since it uses less digits than its factorization.
355420032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84171 (or 84159 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 24.
The square root of 355420032 is about 18852.5868781979. The cubic root of 355420032 is about 708.3490251410.
Adding to 355420032 its reverse (230024553), we get a palindrome (585444585).
The spelling of 355420032 in words is "three hundred fifty-five million, four hundred twenty thousand, thirty-two".
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