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73438134 = 23711413877
BaseRepresentation
bin1000110000010…
…01001110110110
312010012001011220
410120021032312
5122300010014
611142011210
71551133230
oct430111666
9163161156
1073438134
11384aa180
1220716b06
13122a3723
149a79250
1566a96a9
hex46093b6

73438134 has 64 divisors (see below), whose sum is σ = 187633152. Its totient is φ = 18604800.

The previous prime is 73438133. The next prime is 73438153. The reversal of 73438134 is 43183437.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 73438095 and 73438104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73438133) 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, 17004 + ... + 20880.

It is an arithmetic number, because the mean of its divisors is an integer number (2931768).

Almost surely, 273438134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73438134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93816576).

73438134 is an abundant number, since it is smaller than the sum of its proper divisors (114195018).

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

73438134 is a wasteful number, since it uses less digits than its factorization.

73438134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941.

The product of its digits is 24192, while the sum is 33.

The square root of 73438134 is about 8569.6052417833. The cubic root of 73438134 is about 418.7683759961.

The spelling of 73438134 in words is "seventy-three million, four hundred thirty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 66 77 82 123 154 231 246 287 451 462 574 861 902 1353 1722 2706 3157 3877 6314 7754 9471 11631 18942 23262 27139 42647 54278 81417 85294 127941 158957 162834 255882 298529 317914 476871 597058 895587 953742 1112699 1748527 1791174 2225398 3338097 3497054 5245581 6676194 10491162 12239689 24479378 36719067 73438134