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30253968 = 2432210097
BaseRepresentation
bin111001101101…
…0001110010000
32002221001122100
41303122032100
530221111333
63000240400
7515103663
oct163321620
962831570
1030253968
1116094288
12a170100
136363774
1440376da
1529c9213
hex1cda390

30253968 has 30 divisors (see below), whose sum is σ = 84669494. Its totient is φ = 10084608.

The previous prime is 30253967. The next prime is 30253973. The reversal of 30253968 is 86935203.

It can be written as a sum of positive squares in only one way, i.e., 26749584 + 3504384 = 5172^2 + 1872^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30253967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104905 + ... + 105192.

Almost surely, 230253968 is an apocalyptic number.

It is an amenable number.

30253968 is an abundant number, since it is smaller than the sum of its proper divisors (54415526).

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

30253968 is a wasteful number, since it uses less digits than its factorization.

30253968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210111 (or 210102 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 30253968 is about 5500.3607154440. The cubic root of 30253968 is about 311.5976074823.

The spelling of 30253968 in words is "thirty million, two hundred fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 210097 420194 630291 840388 1260582 1680776 1890873 2521164 3361552 3781746 5042328 7563492 10084656 15126984 30253968