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134274672 = 2434719241
BaseRepresentation
bin10000000000011…
…01111001110000
3100100122212020000
420000031321300
5233333242142
621153550000
73220213230
oct1000157160
9310585200
10134274672
1169881604
1238b75300
1321a8438c
1413b93cc0
15bbc514c
hex800de70

134274672 has 300 divisors, whose sum is σ = 480188016. Its totient is φ = 35458560.

The previous prime is 134274589. The next prime is 134274677. The reversal of 134274672 is 276472431.

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

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

Its product of digits (56448) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134274677) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3274972 + ... + 3275012.

Almost surely, 2134274672 is an apocalyptic number.

134274672 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 134274672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240094008).

134274672 is an abundant number, since it is smaller than the sum of its proper divisors (345913344).

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

134274672 is a wasteful number, since it uses less digits than its factorization.

134274672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 134274672 is about 11587.6948527306. The cubic root of 134274672 is about 512.0723978027.

The spelling of 134274672 in words is "one hundred thirty-four million, two hundred seventy-four thousand, six hundred seventy-two".