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30153424 = 247238461
BaseRepresentation
bin111001100000…
…1101011010000
32002201221201111
41303001223100
530204402144
62554143104
7514204600
oct163015320
962657644
1030153424
1116025794
12a121a94
136329a82
14400cc00
1529a9534
hex1cc1ad0

30153424 has 30 divisors (see below), whose sum is σ = 67962354. Its totient is φ = 12922560.

The previous prime is 30153419. The next prime is 30153439. The reversal of 30153424 is 42435103.

It can be written as a sum of positive squares in only one way, i.e., 21344400 + 8809024 = 4620^2 + 2968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30153395 and 30153404.

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 5 ways as a sum of consecutive naturals, for example, 18447 + ... + 20014.

Almost surely, 230153424 is an apocalyptic number.

It is an amenable number.

30153424 is an abundant number, since it is smaller than the sum of its proper divisors (37808930).

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

30153424 is a wasteful number, since it uses less digits than its factorization.

30153424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38483 (or 38470 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 30153424 is about 5491.2133449721. The cubic root of 30153424 is about 311.2520435558.

Adding to 30153424 its reverse (42435103), we get a palindrome (72588527).

The spelling of 30153424 in words is "thirty million, one hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 38461 76922 153844 269227 307688 538454 615376 1076908 1884589 2153816 3769178 4307632 7538356 15076712 30153424