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429344130 = 235292232213
BaseRepresentation
bin11001100101110…
…100010110000010
31002220212221102110
4121211310112002
51334403003010
6110334200150
713432236105
oct3145642602
91086787373
10429344130
11200398666
12bb953056
136ac46ba7
144104273c
1527a5d120
hex19974582

429344130 has 64 divisors (see below), whose sum is σ = 1071221760. Its totient is φ = 109998336.

The previous prime is 429344077. The next prime is 429344131. The reversal of 429344130 is 31443924.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (429344131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192904 + ... + 195116.

It is an arithmetic number, because the mean of its divisors is an integer number (16737840).

Almost surely, 2429344130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429344130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535610880).

429344130 is an abundant number, since it is smaller than the sum of its proper divisors (641877630).

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

429344130 is a wasteful number, since it uses less digits than its factorization.

429344130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 429344130 is about 20720.6208883807. The cubic root of 429344130 is about 754.4002839567.

The spelling of 429344130 in words is "four hundred twenty-nine million, three hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 223 290 435 446 669 870 1115 1338 2213 2230 3345 4426 6467 6639 6690 11065 12934 13278 19401 22130 32335 33195 38802 64177 64670 66390 97005 128354 192531 194010 320885 385062 493499 641770 962655 986998 1480497 1925310 2467495 2960994 4934990 7402485 14311471 14804970 28622942 42934413 71557355 85868826 143114710 214672065 429344130