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134348544 = 2834111931
BaseRepresentation
bin10000000000111…
…11111100000000
3100100210121120000
420000133330000
5233343123134
621155320000
73220641501
oct1000377400
9310717500
10134348544
1169922060
1238bb0000
1321aabba5
1413bb2ba8
15bbdbe99
hex801ff00

134348544 has 360 divisors, whose sum is σ = 474862080. Its totient is φ = 37324800.

The previous prime is 134348537. The next prime is 134348551. The reversal of 134348544 is 445843431.

134348544 is a `hidden beast` number, since 134 + 3 + 485 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (134348537) and next prime (134348551).

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

It is a junction number, because it is equal to n+sod(n) for n = 134348499 and 134348508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4333809 + ... + 4333839.

Almost surely, 2134348544 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 134348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237431040).

134348544 is an abundant number, since it is smaller than the sum of its proper divisors (340513536).

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

134348544 is a wasteful number, since it uses less digits than its factorization.

134348544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 134348544 is about 11590.8819336580. The cubic root of 134348544 is about 512.1662871333.

The spelling of 134348544 in words is "one hundred thirty-four million, three hundred forty-eight thousand, five hundred forty-four".