Search a number
-
+
30377424 = 2437118219
BaseRepresentation
bin111001111100…
…0010111010000
32010011022222210
41303320113100
530234034144
63003032120
7516126630
oct163702720
963138883
1030377424
1116169010
12a20b640
1363a7a0c
14406a6c0
152a00ab9
hex1cf85d0

30377424 has 80 divisors (see below), whose sum is σ = 97850880. Its totient is φ = 7889280.

The previous prime is 30377423. The next prime is 30377429. The reversal of 30377424 is 42477303.

It is a junction number, because it is equal to n+sod(n) for n = 30377391 and 30377400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30377423) 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, 414 + ... + 7805.

It is an arithmetic number, because the mean of its divisors is an integer number (1223136).

Almost surely, 230377424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30377424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48925440).

30377424 is an abundant number, since it is smaller than the sum of its proper divisors (67473456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30377424 is a wasteful number, since it uses less digits than its factorization.

30377424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 30377424 is about 5511.5718266208. The cubic root of 30377424 is about 312.0208730283.

The spelling of 30377424 in words is "thirty million, three hundred seventy-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 8219 16438 24657 32876 49314 57533 65752 90409 98628 115066 131504 172599 180818 197256 230132 271227 345198 361636 394512 460264 542454 632863 690396 723272 920528 1084908 1265726 1380792 1446544 1898589 2169816 2531452 2761584 3797178 4339632 5062904 7594356 10125808 15188712 30377424