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430072428 = 223167214607
BaseRepresentation
bin11001101000100…
…110001001101100
31002222020221110110
4121220212021230
51340044304203
6110401540020
713441361322
oct3150461154
91088227413
10430072428
11200845865
12100044610
136b140536
1441191d12
1527b53d03
hex19a2626c

430072428 has 24 divisors (see below), whose sum is σ = 1009516032. Its totient is φ = 142498384.

The previous prime is 430072427. The next prime is 430072439. The reversal of 430072428 is 824270034.

It is a junction number, because it is equal to n+sod(n) for n = 430072395 and 430072404.

It is not an unprimeable number, because it can be changed into a prime (430072421) 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, 105300 + ... + 109307.

It is an arithmetic number, because the mean of its divisors is an integer number (42063168).

Almost surely, 2430072428 is an apocalyptic number.

It is an amenable number.

430072428 is an abundant number, since it is smaller than the sum of its proper divisors (579443604).

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

430072428 is a wasteful number, since it uses less digits than its factorization.

430072428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214781 (or 214779 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 430072428 is about 20738.1876739507. The cubic root of 430072428 is about 754.8266069662.

The spelling of 430072428 in words is "four hundred thirty million, seventy-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 2004 214607 429214 643821 858428 1287642 2575284 35839369 71678738 107518107 143357476 215036214 430072428