| Base | Representation |
|---|---|
| bin | 10101001010011… |
| … | …111111110010100 |
| 3 | 220202010121212200 |
| 4 | 111022133332110 |
| 5 | 1211344331230 |
| 6 | 55122244500 |
| 7 | 11541035664 |
| oct | 2512377624 |
| 9 | 822117780 |
| 10 | 355073940 |
| 11 | 172480341 |
| 12 | 9aab6730 |
| 13 | 58741830 |
| 14 | 3522c1a4 |
| 15 | 2128c160 |
| hex | 1529ff94 |
355073940 has 144 divisors (see below), whose sum is σ = 1188519696. Its totient is φ = 85248000.
The previous prime is 355073923. The next prime is 355073947. The reversal of 355073940 is 49370553.
It can be written as a sum of positive squares in 8 ways, for example, as 112275216 + 242798724 = 10596^2 + 15582^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 355073895 and 355073904.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (355073947) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94090 + ... + 97790.
It is an arithmetic number, because the mean of its divisors is an integer number (8253609).
Almost surely, 2355073940 is an apocalyptic number.
355073940 is a gapful number since it is divisible by the number (30) 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 355073940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594259848).
355073940 is an abundant number, since it is smaller than the sum of its proper divisors (833445756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
355073940 is a wasteful number, since it uses less digits than its factorization.
355073940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3770 (or 3765 counting only the distinct ones).
The product of its (nonzero) digits is 56700, while the sum is 36.
The square root of 355073940 is about 18843.4057431240. The cubic root of 355073940 is about 708.1190310260.
The spelling of 355073940 in words is "three hundred fifty-five million, seventy-three thousand, nine hundred forty".
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