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429071640 = 23353575597
BaseRepresentation
bin11001100100110…
…001110100011000
31002220101002122020
4121210301310120
51334320243030
6110324254440
713430022504
oct3144616430
91086332566
10429071640
11200221968
12bb841420
136ab7cb5a
1440db1304
1527a07510
hex19931d18

429071640 has 32 divisors (see below), whose sum is σ = 1287215280. Its totient is φ = 114419072.

The previous prime is 429071627. The next prime is 429071641. The reversal of 429071640 is 46170924.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429071641) 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 7 ways as a sum of consecutive naturals, for example, 1787679 + ... + 1787918.

Almost surely, 2429071640 is an apocalyptic number.

429071640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429071640 is an abundant number, since it is smaller than the sum of its proper divisors (858143640).

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

429071640 is a wasteful number, since it uses less digits than its factorization.

429071640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575611 (or 3575607 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 429071640 is about 20714.0445109109. The cubic root of 429071640 is about 754.2406528489.

The spelling of 429071640 in words is "four hundred twenty-nine million, seventy-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3575597 7151194 10726791 14302388 17877985 21453582 28604776 35755970 42907164 53633955 71511940 85814328 107267910 143023880 214535820 429071640