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30793104 = 2432281761
BaseRepresentation
bin111010101110…
…1110110010000
32010221110012100
41311131312100
530340334404
63020000400
7522510546
oct165356620
963843170
1030793104
1116422351
12a390100
1364c1c94
144137d96
152a83d39
hex1d5dd90

30793104 has 60 divisors (see below), whose sum is σ = 86598252. Its totient is φ = 10214400.

The previous prime is 30793097. The next prime is 30793109. The reversal of 30793104 is 40139703.

It can be written as a sum of positive squares in 2 ways, for example, as 7290000 + 23503104 = 2700^2 + 4848^2 .

It is not an unprimeable number, because it can be changed into a prime (30793109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40084 + ... + 40844.

Almost surely, 230793104 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 30793104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43299126).

30793104 is an abundant number, since it is smaller than the sum of its proper divisors (55805148).

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

30793104 is a wasteful number, since it uses less digits than its factorization.

30793104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 30793104 is about 5549.1534489506. The cubic root of 30793104 is about 313.4376454667.

The spelling of 30793104 in words is "thirty million, seven hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 761 843 1124 1522 1686 2248 2283 2529 3044 3372 4496 4566 5058 6088 6744 6849 9132 10116 12176 13488 13698 18264 20232 27396 36528 40464 54792 109584 213841 427682 641523 855364 1283046 1710728 1924569 2566092 3421456 3849138 5132184 7698276 10264368 15396552 30793104