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1349934432 = 2537113143137
BaseRepresentation
bin101000001110110…
…0101110101100000
310111002010202220120
41100131211311200
510231040400212
6341541440240
745311152620
oct12035456540
93432122816
101349934432
116330037a0
12318110080
1318689c592
14cb3dc880
157d7a588c
hex50765d60

1349934432 has 384 divisors, whose sum is σ = 4700602368. Its totient is φ = 329011200.

The previous prime is 1349934403. The next prime is 1349934437. The reversal of 1349934432 is 2344399431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349934437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9853468 + ... + 9853604.

It is an arithmetic number, because the mean of its divisors is an integer number (12241152).

Almost surely, 21349934432 is an apocalyptic number.

1349934432 is a gapful number since it is divisible by the number (12) 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 1349934432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350301184).

1349934432 is an abundant number, since it is smaller than the sum of its proper divisors (3350667936).

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

1349934432 is a wasteful number, since it uses less digits than its factorization.

1349934432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 1349934432 is about 36741.4538634497. The cubic root of 1349934432 is about 1105.1915563708.

The spelling of 1349934432 in words is "one billion, three hundred forty-nine million, nine hundred thirty-four thousand, four hundred thirty-two".