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30871344 = 2437139661
BaseRepresentation
bin111010111000…
…0111100110000
32011002102112010
41311300330300
530400340334
63021402520
7523254630
oct165607460
964072463
1030871344
1116476109
12a409440
13651b78a
1441586c0
152a9c0e9
hex1d70f30

30871344 has 80 divisors (see below), whose sum is σ = 91938560. Its totient is φ = 8743680.

The previous prime is 30871343. The next prime is 30871349. The reversal of 30871344 is 44317803.

It is not an unprimeable number, because it can be changed into a prime (30871343) 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, 46374 + ... + 47034.

It is an arithmetic number, because the mean of its divisors is an integer number (1149232).

Almost surely, 230871344 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 30871344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45969280).

30871344 is an abundant number, since it is smaller than the sum of its proper divisors (61067216).

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

30871344 is a wasteful number, since it uses less digits than its factorization.

30871344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 30871344 is about 5556.1987005506. The cubic root of 30871344 is about 313.7028847311.

The spelling of 30871344 in words is "thirty million, eight hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 417 556 661 834 973 1112 1322 1668 1946 1983 2224 2644 2919 3336 3892 3966 4627 5288 5838 6672 7784 7932 9254 10576 11676 13881 15568 15864 18508 23352 27762 31728 37016 46704 55524 74032 91879 111048 183758 222096 275637 367516 551274 643153 735032 1102548 1286306 1470064 1929459 2205096 2572612 3858918 4410192 5145224 7717836 10290448 15435672 30871344