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3141307328 = 26176743093
BaseRepresentation
bin1011101100111100…
…1000101111000000
322002220220221112212
42323033020233000
522413133313303
61235413041252
7140562446255
oct27317105700
98086827485
103141307328
111372205765
12738026228
133b0a5b943
1421b2ab42c
15135ba7ad8
hexbb3c8bc0

3141307328 has 56 divisors (see below), whose sum is σ = 6698876112. Its totient is φ = 1456164864.

The previous prime is 3141307307. The next prime is 3141307333. The reversal of 3141307328 is 8237031413.

3141307328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3141307294 and 3141307303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51350 + ... + 94442.

Almost surely, 23141307328 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 3141307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349438056).

3141307328 is an abundant number, since it is smaller than the sum of its proper divisors (3557568784).

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

3141307328 is a wasteful number, since it uses less digits than its factorization.

3141307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43189 (or 43179 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3141307328 is about 56047.3668248563. The cubic root of 3141307328 is about 1464.5475471858.

The spelling of 3141307328 in words is "three billion, one hundred forty-one million, three hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 134 136 268 272 536 544 1072 1088 1139 2144 2278 4288 4556 9112 18224 36448 43093 72896 86186 172372 344744 689488 732581 1378976 1465162 2757952 2887231 2930324 5774462 5860648 11548924 11721296 23097848 23442592 46195696 46885184 49082927 92391392 98165854 184782784 196331708 392663416 785326832 1570653664 3141307328