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1434113184 = 2537397449
BaseRepresentation
bin101010101111010…
…1101010010100000
310200221112111110010
41111132231102200
510414113110214
6354150004520
750352522000
oct12536552240
93627474403
101434113184
11676579509
12340346740
1319b1639aa
14d8672000
1585d82659
hex557ad4a0

1434113184 has 192 divisors, whose sum is σ = 4445280000. Its totient is φ = 404619264.

The previous prime is 1434113119. The next prime is 1434113231. The reversal of 1434113184 is 4813114341.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3193792 + ... + 3194240.

It is an arithmetic number, because the mean of its divisors is an integer number (23152500).

Almost surely, 21434113184 is an apocalyptic number.

1434113184 is a gapful number since it is divisible by the number (14) 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 1434113184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222640000).

1434113184 is an abundant number, since it is smaller than the sum of its proper divisors (3011166816).

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

1434113184 is an equidigital number, since it uses as much as digits as its factorization.

1434113184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 558 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1434113184 is about 37869.6868748607. The cubic root of 1434113184 is about 1127.7023257576.

The spelling of 1434113184 in words is "one billion, four hundred thirty-four million, one hundred thirteen thousand, one hundred eighty-four".