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134298576 = 24326115289
BaseRepresentation
bin10000000000100…
…11101111010000
3100100201002000100
420000103233100
5233340023301
621154252400
73220343016
oct1000235720
9310632010
10134298576
1169898565
1238b87100
1321a92219
1413b9c8b6
15bbcc286
hex8013bd0

134298576 has 60 divisors (see below), whose sum is σ = 382035940. Its totient is φ = 44029440.

The previous prime is 134298569. The next prime is 134298581. The reversal of 134298576 is 675892431.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 98010000 = 6024^2 + 9900^2 .

It is a super-2 number, since 2×1342985762 = 36072215031255552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140 + ... + 16428.

Almost surely, 2134298576 is an apocalyptic number.

134298576 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 134298576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191017970).

134298576 is an abundant number, since it is smaller than the sum of its proper divisors (247737364).

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

134298576 is a wasteful number, since it uses less digits than its factorization.

134298576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15364 (or 15355 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 134298576 is about 11588.7262457960. The cubic root of 134298576 is about 512.1027829133.

The spelling of 134298576 in words is "one hundred thirty-four million, two hundred ninety-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 15289 30578 45867 61156 91734 122312 137601 183468 244624 275202 366936 550404 733872 932629 1100808 1865258 2201616 2797887 3730516 5595774 7461032 8393661 11191548 14922064 16787322 22383096 33574644 44766192 67149288 134298576