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134023344 = 24371361503
BaseRepresentation
bin1111111110100…
…00100010110000
3100100012002110120
413333100202300
5233302221334
621144330240
73215115420
oct777204260
9310162416
10134023344
116971a7a4
1238a73980
13219c6b70
1413b2a480
15bb75949
hex7fd08b0

134023344 has 160 divisors (see below), whose sum is σ = 433972224. Its totient is φ = 34698240.

The previous prime is 134023343. The next prime is 134023411. The reversal of 134023344 is 443320431.

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

It is not an unprimeable number, because it can be changed into a prime (134023343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266197 + ... + 266699.

Almost surely, 2134023344 is an apocalyptic number.

134023344 is a gapful number since it is divisible by the number (14) 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 134023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986112).

134023344 is an abundant number, since it is smaller than the sum of its proper divisors (299948880).

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

134023344 is a wasteful number, since it uses less digits than its factorization.

134023344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 134023344 is about 11576.8451661064. The cubic root of 134023344 is about 511.7527085419.

Adding to 134023344 its reverse (443320431), we get a palindrome (577343775).

The spelling of 134023344 in words is "one hundred thirty-four million, twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 61 78 84 91 104 112 122 156 168 182 183 208 244 273 312 336 364 366 427 488 503 546 624 728 732 793 854 976 1006 1092 1281 1456 1464 1509 1586 1708 2012 2184 2379 2562 2928 3018 3172 3416 3521 4024 4368 4758 5124 5551 6036 6344 6539 6832 7042 8048 9516 10248 10563 11102 12072 12688 13078 14084 16653 19032 19617 20496 21126 22204 24144 26156 28168 30683 33306 38064 39234 42252 44408 45773 52312 56336 61366 66612 78468 84504 88816 91546 92049 104624 122732 133224 137319 156936 169008 183092 184098 214781 245464 266448 274638 313872 366184 368196 398879 429562 490928 549276 644343 732368 736392 797758 859124 1098552 1196637 1288686 1472784 1595516 1718248 2197104 2393274 2577372 2792153 3191032 3436496 4786548 5154744 5584306 6382064 8376459 9573096 10309488 11168612 16752918 19146192 22337224 33505836 44674448 67011672 134023344