Search a number
-
+
1677000704 = 21625589
BaseRepresentation
bin110001111110101…
…0000000000000000
311022212120110111012
41203331100000000
511413303010304
6434223540052
756362161611
oct14375200000
94285513435
101677000704
117906944a5
123a975a628
13209585c12
1411ca19c08
159c35e16e
hex63f50000

1677000704 has 34 divisors (see below), whose sum is σ = 3354106890. Its totient is φ = 838467584.

The previous prime is 1677000673. The next prime is 1677000713. The reversal of 1677000704 is 4070007761.

It can be written as a sum of positive squares in only one way, i.e., 1636040704 + 40960000 = 40448^2 + 6400^2 .

It is a super-3 number, since 3×16770007043 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52742 + ... + 78330.

Almost surely, 21677000704 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 1677000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677053445).

1677000704 is an abundant number, since it is smaller than the sum of its proper divisors (1677106186).

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

1677000704 is an frugal number, since it uses more digits than its factorization.

1677000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25621 (or 25591 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 1677000704 is about 40951.1990544844. The cubic root of 1677000704 is about 1188.0765254321.

The spelling of 1677000704 in words is "one billion, six hundred seventy-seven million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 25589 32768 51178 65536 102356 204712 409424 818848 1637696 3275392 6550784 13101568 26203136 52406272 104812544 209625088 419250176 838500352 1677000704