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30803424 = 253476827
BaseRepresentation
bin111010110000…
…0010111100000
32010221222100120
41311200113200
530341202144
63020120240
7522552621
oct165402740
963858316
1030803424
111642a083
12a396080
1364c68a2
14413ba48
152a86e19
hex1d605e0

30803424 has 48 divisors (see below), whose sum is σ = 82591488. Its totient is φ = 10047872.

The previous prime is 30803413. The next prime is 30803431. The reversal of 30803424 is 42430803.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30803394 and 30803403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1099 + ... + 7925.

It is an arithmetic number, because the mean of its divisors is an integer number (1720656).

Almost surely, 230803424 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 30803424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41295744).

30803424 is an abundant number, since it is smaller than the sum of its proper divisors (51788064).

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

30803424 is a wasteful number, since it uses less digits than its factorization.

30803424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 30803424 is about 5550.0832426190. The cubic root of 30803424 is about 313.4726567169.

The spelling of 30803424 in words is "thirty million, eight hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 6827 13654 20481 27308 40962 54616 81924 109232 163848 218464 320869 327696 641738 655392 962607 1283476 1925214 2566952 3850428 5133904 7700856 10267808 15401712 30803424