Search a number
-
+
30451000 = 235337823
BaseRepresentation
bin111010000101…
…0010100111000
32010022001220211
41310022110320
530243413000
63004400504
7516554266
oct164122470
963261824
1030451000
1116209318
12a246134
136402358
144089436
152a177ba
hex1d0a538

30451000 has 64 divisors (see below), whose sum is σ = 73270080. Its totient is φ = 11836800.

The previous prime is 30450997. The next prime is 30451013. The reversal of 30451000 is 15403.

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 15 ways as a sum of consecutive naturals, for example, 36589 + ... + 37411.

It is an arithmetic number, because the mean of its divisors is an integer number (1144845).

Almost surely, 230451000 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 30451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36635040).

30451000 is an abundant number, since it is smaller than the sum of its proper divisors (42819080).

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

30451000 is a wasteful number, since it uses less digits than its factorization.

30451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 30451000 is about 5518.2424738317. The cubic root of 30451000 is about 312.2725812050.

Adding to 30451000 its reverse (15403), we get a palindrome (30466403).

The spelling of 30451000 in words is "thirty million, four hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 823 925 1000 1480 1646 1850 3292 3700 4115 4625 6584 7400 8230 9250 16460 18500 20575 30451 32920 37000 41150 60902 82300 102875 121804 152255 164600 205750 243608 304510 411500 609020 761275 823000 1218040 1522550 3045100 3806375 6090200 7612750 15225500 30451000