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134203392 = 21134809
BaseRepresentation
bin1111111111111…
…00100000000000
3100100112020110000
413333330200000
5233324002032
621152240000
73216465351
oct777744000
9310466400
10134203392
1169832aa4
1238b40000
1321a5aabb
1413b75d28
15bbade7c
hex7ffc800

134203392 has 120 divisors (see below), whose sum is σ = 401350950. Its totient is φ = 44679168.

The previous prime is 134203379. The next prime is 134203393. The reversal of 134203392 is 293302431.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 43877376 = 9504^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (134203393) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165484 + ... + 166292.

Almost surely, 2134203392 is an apocalyptic number.

134203392 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 134203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200675475).

134203392 is an abundant number, since it is smaller than the sum of its proper divisors (267147558).

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

134203392 is an frugal number, since it uses more digits than its factorization.

134203392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 134203392 is about 11584.6187680044. The cubic root of 134203392 is about 511.9817701843.

The spelling of 134203392 in words is "one hundred thirty-four million, two hundred three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 809 864 1024 1152 1296 1536 1618 1728 2048 2304 2427 2592 3072 3236 3456 4608 4854 5184 6144 6472 6912 7281 9216 9708 10368 12944 13824 14562 18432 19416 20736 21843 25888 27648 29124 38832 41472 43686 51776 55296 58248 65529 77664 82944 87372 103552 116496 131058 155328 165888 174744 207104 232992 262116 310656 349488 414208 465984 524232 621312 698976 828416 931968 1048464 1242624 1397952 1656832 1863936 2096928 2485248 2795904 3727872 4193856 4970496 5591808 7455744 8387712 11183616 14911488 16775424 22367232 33550848 44734464 67101696 134203392