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429419080 = 23567160231
BaseRepresentation
bin11001100110000…
…110101001001000
31002221000202020101
4121212012221020
51334412402310
6110335535144
713433000446
oct3146065110
91087022211
10429419080
11200439a02
12bb98a4b4
136ac7203c
1441061b96
1527a7543a
hex19986a48

429419080 has 32 divisors (see below), whose sum is σ = 980619840. Its totient is φ = 169202880.

The previous prime is 429419071. The next prime is 429419101. The reversal of 429419080 is 80914924.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77436 + ... + 82795.

It is an arithmetic number, because the mean of its divisors is an integer number (30644370).

Almost surely, 2429419080 is an apocalyptic number.

429419080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429419080 is an abundant number, since it is smaller than the sum of its proper divisors (551200760).

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

429419080 is a wasteful number, since it uses less digits than its factorization.

429419080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160309 (or 160305 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 429419080 is about 20722.4293942578. The cubic root of 429419080 is about 754.4441796009. Note that the first 3 decimals are identical.

The spelling of 429419080 in words is "four hundred twenty-nine million, four hundred nineteen thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 160231 320462 640924 801155 1281848 1602310 3204620 6409240 10735477 21470954 42941908 53677385 85883816 107354770 214709540 429419080