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429040 = 24531173
BaseRepresentation
bin1101000101111110000
3210210112101
41220233300
5102212130
613110144
73434563
oct1505760
9723471
10429040
11273387
12188354
13120391
14b24da
15871ca
hex68bf0

429040 has 40 divisors (see below), whose sum is σ = 1035648. Its totient is φ = 165120.

The previous prime is 429017. The next prime is 429043. The reversal of 429040 is 40924.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 428999 and 429017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2394 + ... + 2566.

2429040 is an apocalyptic number.

429040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517824).

429040 is an abundant number, since it is smaller than the sum of its proper divisors (606608).

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

429040 is a wasteful number, since it uses less digits than its factorization.

429040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 429040 is about 655.0114502816. The cubic root of 429040 is about 75.4222113007.

Adding to 429040 its reverse (40924), we get a palindrome (469964).

The spelling of 429040 in words is "four hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 173 248 310 346 496 620 692 865 1240 1384 1730 2480 2768 3460 5363 6920 10726 13840 21452 26815 42904 53630 85808 107260 214520 429040