Search a number
-
+
30914500 = 2253173637
BaseRepresentation
bin111010111101…
…1011111000100
32011011121201111
41311323133010
530403231000
63022334404
7523524511
oct165733704
964147644
1030914500
11164a5581
12a42a404
136535306
14416a308
152aa9cba
hex1d7b7c4

30914500 has 48 divisors (see below), whose sum is σ = 71508528. Its totient is φ = 11635200.

The previous prime is 30914497. The next prime is 30914503. The reversal of 30914500 is 541903.

It is an interprime number because it is at equal distance from previous prime (30914497) and next prime (30914503).

It can be written as a sum of positive squares in 8 ways, for example, as 14930496 + 15984004 = 3864^2 + 3998^2 .

It is not an unprimeable number, because it can be changed into a prime (30914503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6682 + ... + 10318.

It is an arithmetic number, because the mean of its divisors is an integer number (1489761).

Almost surely, 230914500 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 30914500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35754264).

30914500 is an abundant number, since it is smaller than the sum of its proper divisors (40594028).

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

30914500 is a wasteful number, since it uses less digits than its factorization.

30914500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 30914500 is about 5560.0809346627. The cubic root of 30914500 is about 313.8489949676.

The spelling of 30914500 in words is "thirty million, nine hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 3637 4250 7274 8500 14548 18185 36370 61829 72740 90925 123658 181850 247316 309145 363700 454625 618290 909250 1236580 1545725 1818500 3091450 6182900 7728625 15457250 30914500