Search a number
-
+
30619296 = 253411813
BaseRepresentation
bin111010011001…
…1011010100000
32010121121210000
41310303122200
530314304141
63012140000
7521155041
oct164633240
963547700
1030619296
1116313804
12a307600
136460b36
1440d08c8
152a4c5b6
hex1d336a0

30619296 has 60 divisors (see below), whose sum is σ = 90058122. Its totient is φ = 10205568.

The previous prime is 30619243. The next prime is 30619307. The reversal of 30619296 is 69291603.

30619296 is a `hidden beast` number, since 30 + 619 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27248400 + 3370896 = 5220^2 + 1836^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30619296.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3315 + ... + 8498.

Almost surely, 230619296 is an apocalyptic number.

30619296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30619296 is an abundant number, since it is smaller than the sum of its proper divisors (59438826).

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

30619296 is a wasteful number, since it uses less digits than its factorization.

30619296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11835 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 30619296 is about 5533.4705203877. The cubic root of 30619296 is about 312.8468119796.

The spelling of 30619296 in words is "thirty million, six hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 11813 23626 35439 47252 70878 94504 106317 141756 189008 212634 283512 318951 378016 425268 567024 637902 850536 956853 1134048 1275804 1701072 1913706 2551608 3402144 3827412 5103216 7654824 10206432 15309648 30619296