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134413224 = 23311712101
BaseRepresentation
bin10000000001011…
…11101110101000
3100100220220021120
420000233232220
5233402210344
621200535240
73221331201
oct1000575650
9310826246
10134413224
1169966710
1239021520
1321b0246a
1413bcc5a8
15bc01219
hex802fba8

134413224 has 96 divisors (see below), whose sum is σ = 375498720. Its totient is φ = 39760000.

The previous prime is 134413199. The next prime is 134413243. The reversal of 134413224 is 422314431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 134413194 and 134413203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330774 + ... + 1330874.

It is an arithmetic number, because the mean of its divisors is an integer number (3911445).

Almost surely, 2134413224 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 134413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187749360).

134413224 is an abundant number, since it is smaller than the sum of its proper divisors (241085496).

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

134413224 is a wasteful number, since it uses less digits than its factorization.

134413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 188 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 134413224 is about 11593.6717221077. The cubic root of 134413224 is about 512.2484654231.

Adding to 134413224 its reverse (422314431), we get a palindrome (556727655).

The spelling of 134413224 in words is "one hundred thirty-four million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 101 132 142 202 213 264 284 303 404 426 568 606 781 808 852 1111 1212 1562 1704 2222 2343 2424 3124 3333 4444 4686 5041 6248 6666 7171 8888 9372 10082 13332 14342 15123 18744 20164 21513 26664 28684 30246 40328 43026 55451 57368 60492 78881 86052 110902 120984 157762 166353 172104 221804 236643 315524 332706 443608 473286 509141 631048 665412 946572 1018282 1330824 1527423 1893144 2036564 3054846 4073128 5600551 6109692 11201102 12219384 16801653 22402204 33603306 44804408 67206612 134413224