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30401680 = 2452931297
BaseRepresentation
bin111001111111…
…0010010010000
32010012120021011
41303332102100
530240323210
63003340304
7516260431
oct163762220
963176234
1030401680
1116185261
12a221694
1363b5a7a
144075488
152a07d8a
hex1cfe490

30401680 has 40 divisors (see below), whose sum is σ = 70979832. Its totient is φ = 12109824.

The previous prime is 30401659. The next prime is 30401681. The reversal of 30401680 is 8610403.

It can be written as a sum of positive squares in 4 ways, for example, as 20466576 + 9935104 = 4524^2 + 3152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (30401681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22792 + ... + 24088.

Almost surely, 230401680 is an apocalyptic number.

It is an amenable number.

30401680 is an abundant number, since it is smaller than the sum of its proper divisors (40578152).

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

30401680 is a wasteful number, since it uses less digits than its factorization.

30401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30401680 is about 5513.7718487438. The cubic root of 30401680 is about 312.1038992121.

The spelling of 30401680 in words is "thirty million, four hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 293 586 1172 1297 1465 2344 2594 2930 4688 5188 5860 6485 10376 11720 12970 20752 23440 25940 51880 103760 380021 760042 1520084 1900105 3040168 3800210 6080336 7600420 15200840 30401680