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1434228864 = 27333711083
BaseRepresentation
bin101010101111100…
…1001100010000000
310200221202101010120
41111133021202000
510414130310424
6354152300240
750353513155
oct12537114200
93627671116
101434228864
11676648412
123403a1680
1319b1a4543
14d86a222c
1585da6a79
hex557c9880

1434228864 has 64 divisors (see below), whose sum is σ = 3821319840. Its totient is φ = 476614656.

The previous prime is 1434228841. The next prime is 1434228911. The reversal of 1434228864 is 4688224341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 123867 + ... + 134949.

Almost surely, 21434228864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910659920).

1434228864 is an abundant number, since it is smaller than the sum of its proper divisors (2387090976).

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

1434228864 is a wasteful number, since it uses less digits than its factorization.

1434228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437 (or 11425 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 1434228864 is about 37871.2141870313. The cubic root of 1434228864 is about 1127.7326462602.

The spelling of 1434228864 in words is "one billion, four hundred thirty-four million, two hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 337 384 674 1011 1348 2022 2696 4044 5392 8088 10784 11083 16176 21568 22166 32352 33249 43136 44332 64704 66498 88664 129408 132996 177328 265992 354656 531984 709312 1063968 1418624 2127936 3734971 4255872 7469942 11204913 14939884 22409826 29879768 44819652 59759536 89639304 119519072 179278608 239038144 358557216 478076288 717114432 1434228864