| Base | Representation |
|---|---|
| bin | 10101100100011… |
| … | …110000101010000 |
| 3 | 221012221111200200 |
| 4 | 111210132011100 |
| 5 | 1220120210221 |
| 6 | 55524215200 |
| 7 | 11652642243 |
| oct | 2544360520 |
| 9 | 835844620 |
| 10 | 361881936 |
| 11 | 176300289 |
| 12 | a123a500 |
| 13 | 59c86530 |
| 14 | 360c125a |
| 15 | 21b84426 |
| hex | 1591e150 |
361881936 has 120 divisors (see below), whose sum is σ = 1104929280. Its totient is φ = 109893888.
The previous prime is 361881929. The next prime is 361881943. The reversal of 361881936 is 639188163.
It is a happy number.
361881936 is nontrivially palindromic in base 5.
It is an interprime number because it is at equal distance from previous prime (361881929) and next prime (361881943).
It is a super-3 number, since 3×3618819363 (a number of 27 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 361881891 and 361881900.
It is a congruent number.
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, 146665 + ... + 149111.
It is an arithmetic number, because the mean of its divisors is an integer number (9207744).
Almost surely, 2361881936 is an apocalyptic number.
361881936 is a gapful number since it is divisible by the number (36) 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 361881936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552464640).
361881936 is an abundant number, since it is smaller than the sum of its proper divisors (743047344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
361881936 is a wasteful number, since it uses less digits than its factorization.
361881936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2553 (or 2544 counting only the distinct ones).
The product of its digits is 186624, while the sum is 45.
The square root of 361881936 is about 19023.1946843846. The cubic root of 361881936 is about 712.6161081326.
The spelling of 361881936 in words is "three hundred sixty-one million, eight hundred eighty-one thousand, nine hundred thirty-six".
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