| Base | Representation |
|---|---|
| bin | 111001111100… |
| … | …0011111100000 |
| 3 | 2010011100201100 |
| 4 | 1303320133200 |
| 5 | 30234043302 |
| 6 | 3003034400 |
| 7 | 516131313 |
| oct | 163703740 |
| 9 | 63140640 |
| 10 | 30377952 |
| 11 | 16169450 |
| 12 | a20ba00 |
| 13 | 63a8027 |
| 14 | 406a97a |
| 15 | 2a00d1c |
| hex | 1cf87e0 |
30377952 has 144 divisors (see below), whose sum is σ = 96864768. Its totient is φ = 8951040.
The previous prime is 30377951. The next prime is 30377953. The reversal of 30377952 is 25977303.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (30377951) and next prime (30377953).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30377951) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136113 + ... + 136335.
It is an arithmetic number, because the mean of its divisors is an integer number (672672).
Almost surely, 230377952 is an apocalyptic number.
30377952 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 30377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384).
30377952 is an abundant number, since it is smaller than the sum of its proper divisors (66486816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30377952 is a wasteful number, since it uses less digits than its factorization.
30377952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 293 (or 282 counting only the distinct ones).
The product of its (nonzero) digits is 39690, while the sum is 36.
The square root of 30377952 is about 5511.6197256342. The cubic root of 30377952 is about 312.0226807969.
It can be divided in two parts, 30377 and 952, that added together give a square (31329 = 1772).
The spelling of 30377952 in words is "thirty million, three hundred seventy-seven thousand, nine hundred fifty-two".
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