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429961344 = 2731119691
BaseRepresentation
bin11001101000001…
…011000010000000
31002222001022002020
4121220023002000
51340032230334
6110355321440
713440416421
oct3150130200
91088038066
10429961344
1120077a35a
12bbbb0280
136b101ac7
1441163648
1527b30e49
hex19a0b080

429961344 has 32 divisors (see below), whose sum is σ = 1142085840. Its totient is φ = 143320320.

The previous prime is 429961319. The next prime is 429961361. The reversal of 429961344 is 443169924.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×4299613443 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 429961296 and 429961305.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 559462 + ... + 560229.

Almost surely, 2429961344 is an apocalyptic number.

It is an amenable number.

429961344 is an abundant number, since it is smaller than the sum of its proper divisors (712124496).

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

429961344 is a wasteful number, since it uses less digits than its factorization.

429961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119708 (or 1119696 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 429961344 is about 20735.5092534522. The cubic root of 429961344 is about 754.7616129686.

The spelling of 429961344 in words is "four hundred twenty-nine million, nine hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1119691 2239382 3359073 4478764 6718146 8957528 13436292 17915056 26872584 35830112 53745168 71660224 107490336 143320448 214980672 429961344