Search a number
-
+
30488000 = 265337103
BaseRepresentation
bin111010001001…
…1010111000000
32010100221200012
41310103113000
530301104000
63005244052
7520100204
oct164232700
963327605
1030488000
11162340a4
12a263628
13641614a
144098b04
152a23735
hex1d135c0

30488000 has 112 divisors (see below), whose sum is σ = 78297024. Its totient is φ = 11750400.

The previous prime is 30487999. The next prime is 30488011. The reversal of 30488000 is 88403.

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, 295949 + ... + 296051.

Almost surely, 230488000 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 30488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39148512).

30488000 is an abundant number, since it is smaller than the sum of its proper divisors (47809024).

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

30488000 is a wasteful number, since it uses less digits than its factorization.

30488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 30488000 is about 5521.5939727582. The cubic root of 30488000 is about 312.3990073651.

The spelling of 30488000 in words is "thirty million, four hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 103 125 148 160 185 200 206 250 296 320 370 400 412 500 515 592 740 800 824 925 1000 1030 1184 1480 1600 1648 1850 2000 2060 2368 2575 2960 3296 3700 3811 4000 4120 4625 5150 5920 6592 7400 7622 8000 8240 9250 10300 11840 12875 14800 15244 16480 18500 19055 20600 25750 29600 30488 32960 37000 38110 41200 51500 59200 60976 74000 76220 82400 95275 103000 121952 148000 152440 164800 190550 206000 243904 296000 304880 381100 412000 476375 609760 762200 824000 952750 1219520 1524400 1905500 3048800 3811000 6097600 7622000 15244000 30488000