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1351734912 = 27331131237
BaseRepresentation
bin101000010010001…
…1101011010000000
310111012112020201000
41100210131122000
510232021004122
6342044212000
745332362053
oct12044353200
93435466630
101351734912
116340234a0
1231883a000
1318707cc58
14cb74aa9a
157da0e0ac
hex5091d680

1351734912 has 384 divisors, whose sum is σ = 4618641600. Its totient is φ = 385689600.

The previous prime is 1351734893. The next prime is 1351734919. The reversal of 1351734912 is 2194371531.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (22680) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (1351734919) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36533358 + ... + 36533394.

Almost surely, 21351734912 is an apocalyptic number.

1351734912 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 1351734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309320800).

1351734912 is an abundant number, since it is smaller than the sum of its proper divisors (3266906688).

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

1351734912 is a wasteful number, since it uses less digits than its factorization.

1351734912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 1351734912 is about 36765.9477234030. The cubic root of 1351734912 is about 1105.6826891827.

The spelling of 1351734912 in words is "one billion, three hundred fifty-one million, seven hundred thirty-four thousand, nine hundred twelve".