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3142400328 = 2332291504981
BaseRepresentation
bin1011101101001101…
…0011100101001000
322002222222110212100
42323103103211020
522413423302303
61235452313400
7140604650664
oct27323234510
98088873770
103142400328
111372891971
12738472860
133b10522a2
1421b4b38a4
15135d218a3
hexbb4d3948

3142400328 has 48 divisors (see below), whose sum is σ = 8804144700. Its totient is φ = 1011346560.

The previous prime is 3142400321. The next prime is 3142400399. The reversal of 3142400328 is 8230042413.

3142400328 is a `hidden beast` number, since 314 + 24 + 0 + 0 + 328 = 666.

3142400328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2770759044 + 371641284 = 52638^2 + 19278^2 .

It is not an unprimeable number, because it can be changed into a prime (3142400321) 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, 750403 + ... + 754578.

Almost surely, 23142400328 is an apocalyptic number.

It is an amenable number.

3142400328 is an abundant number, since it is smaller than the sum of its proper divisors (5661744372).

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

3142400328 is a wasteful number, since it uses less digits than its factorization.

3142400328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505022 (or 1505015 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3142400328 is about 56057.1166579231. The cubic root of 3142400328 is about 1464.7173878159.

The spelling of 3142400328 in words is "three billion, one hundred forty-two million, four hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 1504981 3009962 4514943 6019924 9029886 12039848 13544829 18059772 27089658 36119544 43644449 54179316 87288898 108358632 130933347 174577796 261866694 349155592 392800041 523733388 785600082 1047466776 1571200164 3142400328