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1434147728 = 241312015741
BaseRepresentation
bin101010101111011…
…0101101110010000
310200221121020211112
41111132311232100
510414120211403
6354150432452
750353024466
oct12536655620
93627536745
101434147728
116765a2462
12340362728
1319b176630
14d8680836
1585d8c9d8
hex557b5b90

1434147728 has 40 divisors (see below), whose sum is σ = 2995417656. Its totient is φ = 661248000.

The previous prime is 1434147709. The next prime is 1434147731. The reversal of 1434147728 is 8277414341.

It can be written as a sum of positive squares in 4 ways, for example, as 43454464 + 1390693264 = 6592^2 + 37292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246938 + ... + 252678.

Almost surely, 21434147728 is an apocalyptic number.

It is an amenable number.

1434147728 is an abundant number, since it is smaller than the sum of its proper divisors (1561269928).

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

1434147728 is a wasteful number, since it uses less digits than its factorization.

1434147728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6957 counting only the distinct ones).

The product of its digits is 150528, while the sum is 41.

The square root of 1434147728 is about 37870.1429624975. The cubic root of 1434147728 is about 1127.7113801421.

The spelling of 1434147728 in words is "one billion, four hundred thirty-four million, one hundred forty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 1201 2402 4804 5741 9608 11482 15613 19216 22964 31226 45928 62452 74633 91856 124904 149266 249808 298532 597064 1194128 6894941 13789882 27579764 55159528 89634233 110319056 179268466 358536932 717073864 1434147728