Search a number
-
+
73010340 = 223251341761
BaseRepresentation
bin1000101101000…
…00110010100100
312002101022100200
410112200302210
5122142312330
611124510500
71544402064
oct426406244
9162338320
1073010340
1138237827
122054b430
1312183ab0
1499a73a4
156622a60
hex45a0ca4

73010340 has 144 divisors (see below), whose sum is σ = 244638576. Its totient is φ = 17510400.

The previous prime is 73010339. The next prime is 73010347. The reversal of 73010340 is 4301037.

It can be written as a sum of positive squares in 8 ways, for example, as 45887076 + 27123264 = 6774^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (73010347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95560 + ... + 96320.

It is an arithmetic number, because the mean of its divisors is an integer number (1698879).

Almost surely, 273010340 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 73010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122319288).

73010340 is an abundant number, since it is smaller than the sum of its proper divisors (171628236).

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

73010340 is a wasteful number, since it uses less digits than its factorization.

73010340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73010340 is about 8544.6088266228. The cubic root of 73010340 is about 417.9536512943.

Adding to 73010340 its reverse (4301037), we get a palindrome (77311377).

The spelling of 73010340 in words is "seventy-three million, ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 468 492 533 585 615 738 761 780 820 1066 1170 1230 1476 1522 1599 1845 2132 2283 2340 2460 2665 3044 3198 3690 3805 4566 4797 5330 6396 6849 7380 7610 7995 9132 9594 9893 10660 11415 13698 15220 15990 19188 19786 22830 23985 27396 29679 31201 31980 34245 39572 45660 47970 49465 59358 62402 68490 89037 93603 95940 98930 118716 124804 136980 148395 156005 178074 187206 197860 280809 296790 312010 356148 374412 405613 445185 468015 561618 593580 624020 811226 890370 936030 1123236 1216839 1404045 1622452 1780740 1872060 2028065 2433678 2808090 3650517 4056130 4867356 5616180 6084195 7301034 8112260 12168390 14602068 18252585 24336780 36505170 73010340