Search a number
-
+
5677434 = 2327241157
BaseRepresentation
bin10101101010000101111010
3101200102222100
4111222011322
52423134214
6321404230
766154200
oct25520572
911612870
105677434
1132285a4
121a99676
13123a239
14a7b070
15772309
hex56a17a

5677434 has 72 divisors (see below), whose sum is σ = 14751828. Its totient is φ = 1572480.

The previous prime is 5677423. The next prime is 5677457. The reversal of 5677434 is 4347765.

It can be written as a sum of positive squares in 2 ways, for example, as 4862025 + 815409 = 2205^2 + 903^2 .

Its product of digits (70560) is a multiple of the sum of its prime divisors (210).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36084 + ... + 36240.

Almost surely, 25677434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5677434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375914).

5677434 is an abundant number, since it is smaller than the sum of its proper divisors (9074394).

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

5677434 is a wasteful number, since it uses less digits than its factorization.

5677434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 5677434 is about 2382.7366619079. The cubic root of 5677434 is about 178.3955559699.

It can be divided in two parts, 567 and 7434, that added together give a triangular number (8001 = T126).

The spelling of 5677434 in words is "five million, six hundred seventy-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 157 246 287 294 314 369 441 471 574 738 861 882 942 1099 1413 1722 2009 2198 2583 2826 3297 4018 5166 6027 6437 6594 7693 9891 12054 12874 15386 18081 19311 19782 23079 36162 38622 45059 46158 57933 69237 90118 115866 135177 138474 270354 315413 405531 630826 811062 946239 1892478 2838717 5677434