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1434784416 = 253134761401
BaseRepresentation
bin101010110000101…
…0001001010100000
310200222210121012120
41111201101022200
510414301100131
6354212224240
750361315642
oct12541211240
93628717176
101434784416
1167699784a
1234060b080
1319b33a380
14d87a8892
1585e66496
hex558512a0

1434784416 has 192 divisors, whose sum is σ = 4220729856. Its totient is φ = 423936000.

The previous prime is 1434784357. The next prime is 1434784427. The reversal of 1434784416 is 6144874341.

It is a super-2 number, since 2×14347844162 = 4117212640792922112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3577816 + ... + 3578216.

It is an arithmetic number, because the mean of its divisors is an integer number (21982968).

Almost surely, 21434784416 is an apocalyptic number.

1434784416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434784416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110364928).

1434784416 is an abundant number, since it is smaller than the sum of its proper divisors (2785945440).

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

1434784416 is a wasteful number, since it uses less digits than its factorization.

1434784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 1434784416 is about 37878.5482298358. The cubic root of 1434784416 is about 1127.8782374478.

The spelling of 1434784416 in words is "one billion, four hundred thirty-four million, seven hundred eighty-four thousand, four hundred sixteen".