Search a number
-
+
429298688 = 21071317271
BaseRepresentation
bin11001100101101…
…001010000000000
31002220210122002102
4121211221100000
51334400024223
6110333205532
713431656450
oct3145512000
91086718072
10429298688
11200367505
12bb9308a8
136ac2c2c0
144102dd60
1527a4e928
hex19969400

429298688 has 176 divisors, whose sum is σ = 1122476544. Its totient is φ = 159252480.

The previous prime is 429298643. The next prime is 429298697. The reversal of 429298688 is 886892924.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583993 + ... + 1584263.

Almost surely, 2429298688 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 429298688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561238272).

429298688 is an abundant number, since it is smaller than the sum of its proper divisors (693177856).

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

429298688 is a wasteful number, since it uses less digits than its factorization.

429298688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 56.

The square root of 429298688 is about 20719.5243188641. The cubic root of 429298688 is about 754.3736676484.

The spelling of 429298688 in words is "four hundred twenty-nine million, two hundred ninety-eight thousand, six hundred eighty-eight".