Search a number
-
+
30623488 = 28723743
BaseRepresentation
bin111010011010…
…0011100000000
32010121211112021
41310310130000
530314422423
63012211224
7521203210
oct164643400
963554467
1030623488
1116316975
12a309b14
136462a0c
1440d2240
152a4d95d
hex1d34700

30623488 has 72 divisors (see below), whose sum is σ = 72995328. Its totient is φ = 12536832.

The previous prime is 30623447. The next prime is 30623491. The reversal of 30623488 is 88432603.

It is a super-2 number, since 2×306234882 = 1875596034572288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40845 + ... + 41587.

It is an arithmetic number, because the mean of its divisors is an integer number (1013824).

Almost surely, 230623488 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 30623488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36497664).

30623488 is an abundant number, since it is smaller than the sum of its proper divisors (42371840).

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

30623488 is an equidigital number, since it uses as much as digits as its factorization.

30623488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 30623488 is about 5533.8492932135. The cubic root of 30623488 is about 312.8610883147.

The spelling of 30623488 in words is "thirty million, six hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 743 896 1288 1472 1486 1792 2576 2944 2972 5152 5201 5888 5944 10304 10402 11888 17089 20608 20804 23776 34178 41216 41608 47552 68356 83216 95104 119623 136712 166432 190208 239246 273424 332864 478492 546848 665728 956984 1093696 1331456 1913968 2187392 3827936 4374784 7655872 15311744 30623488