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429068910 = 235231135503
BaseRepresentation
bin11001100100110…
…001001001101110
31002220100221220010
4121210301021232
51334320201120
6110324234050
713430011524
oct3144611156
91086327803
10429068910
1120021a906
12bb83b926
136ab7b83a
1440db0314
1527a067e0
hex1993126e

429068910 has 64 divisors (see below), whose sum is σ = 1084243968. Its totient is φ = 108455424.

The previous prime is 429068903. The next prime is 429068917. The reversal of 429068910 is 19860924.

It is an interprime number because it is at equal distance from previous prime (429068903) and next prime (429068917).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429068917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75219 + ... + 80721.

It is an arithmetic number, because the mean of its divisors is an integer number (16941312).

Almost surely, 2429068910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429068910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542121984).

429068910 is an abundant number, since it is smaller than the sum of its proper divisors (655175058).

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

429068910 is a wasteful number, since it uses less digits than its factorization.

429068910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5649.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 429068910 is about 20713.9786134871. The cubic root of 429068910 is about 754.2390532082.

The spelling of 429068910 in words is "four hundred twenty-nine million, sixty-eight thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 113 115 138 226 230 339 345 565 678 690 1130 1695 2599 3390 5198 5503 7797 11006 12995 15594 16509 25990 27515 33018 38985 55030 77970 82545 126569 165090 253138 379707 621839 632845 759414 1243678 1265690 1865517 1898535 3109195 3731034 3797070 6218390 9327585 14302297 18655170 28604594 42906891 71511485 85813782 143022970 214534455 429068910