Search a number
-
+
73513734 = 23747167223
BaseRepresentation
bin1000110000110…
…11101100000110
312010022212212220
410120123230012
5122304414414
611143353210
71551566520
oct430335406
9163285786
1073513734
1138550a58
1220752806
13122cbc68
149a98a10
1566c1ca9
hex461bb06

73513734 has 64 divisors (see below), whose sum is σ = 173408256. Its totient is φ = 20342304.

The previous prime is 73513721. The next prime is 73513777. The reversal of 73513734 is 43731537.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73513695 and 73513704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329547 + ... + 329769.

It is an arithmetic number, because the mean of its divisors is an integer number (2709504).

Almost surely, 273513734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73513734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86704128).

73513734 is an abundant number, since it is smaller than the sum of its proper divisors (99894522).

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

73513734 is a wasteful number, since it uses less digits than its factorization.

73513734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449.

The product of its digits is 26460, while the sum is 33.

The square root of 73513734 is about 8574.0150454732. The cubic root of 73513734 is about 418.9120253969.

It can be divided in two parts, 73513 and 734, that added together give a palindrome (74247).

The spelling of 73513734 in words is "seventy-three million, five hundred thirteen thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 167 223 282 329 334 446 501 658 669 987 1002 1169 1338 1561 1974 2338 3122 3507 4683 7014 7849 9366 10481 15698 20962 23547 31443 37241 47094 54943 62886 73367 74482 109886 111723 146734 164829 220101 223446 260687 329658 440202 521374 782061 1564122 1750327 3500654 5250981 10501962 12252289 24504578 36756867 73513734