Search a number
-
+
72340476 = 223133783151
BaseRepresentation
bin1000100111111…
…01001111111100
312001010021110220
410103331033330
5122004343401
611102301340
71535612115
oct423751774
9161107426
1072340476
113791a51a
1220287850
1311caac20
14987120c
15653e336
hex44fd3fc

72340476 has 96 divisors (see below), whose sum is σ = 190192128. Its totient is φ = 21254400.

The previous prime is 72340447. The next prime is 72340481. The reversal of 72340476 is 67404327.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479001 + ... + 479151.

It is an arithmetic number, because the mean of its divisors is an integer number (1981168).

Almost surely, 272340476 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 72340476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95096064).

72340476 is an abundant number, since it is smaller than the sum of its proper divisors (117851652).

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

72340476 is a wasteful number, since it uses less digits than its factorization.

72340476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 72340476 is about 8505.3204525168. The cubic root of 72340476 is about 416.6714916419.

The spelling of 72340476 in words is "seventy-two million, three hundred forty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 83 111 148 151 156 166 222 249 302 332 444 453 481 498 604 906 962 996 1079 1443 1812 1924 1963 2158 2886 3071 3237 3926 4316 5587 5772 5889 6142 6474 7852 9213 11174 11778 12284 12533 12948 16761 18426 22348 23556 25066 33522 36852 37599 39923 50132 67044 72631 75198 79846 119769 145262 150396 159692 162929 217893 239538 290524 325858 435786 463721 479076 488787 651716 871572 927442 977574 1391163 1854884 1955148 2782326 5564652 6028373 12056746 18085119 24113492 36170238 72340476