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429948 = 22341327
BaseRepresentation
bin1101000111101111100
3210211210000
41220331330
5102224243
613114300
73440331
oct1507574
9724700
10429948
11274032
12188990
1312090c
14b2988
15875d3
hex68f7c

429948 has 30 divisors (see below), whose sum is σ = 1124816. Its totient is φ = 143208.

The previous prime is 429943. The next prime is 429953. The reversal of 429948 is 849924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (429943) and next prime (429953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429943) by changing a digit.

429948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 340 + ... + 987.

2429948 is an apocalyptic number.

It is an amenable number.

429948 is an abundant number, since it is smaller than the sum of its proper divisors (694868).

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

429948 is a wasteful number, since it uses less digits than its factorization.

429948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1332 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 429948 is about 655.7042016031. The cubic root of 429948 is about 75.4753804791.

The spelling of 429948 in words is "four hundred twenty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1327 2654 3981 5308 7962 11943 15924 23886 35829 47772 71658 107487 143316 214974 429948