Search a number
-
+
453679074 = 2321929149307
BaseRepresentation
bin11011000010101…
…001011111100010
31011121200021200200
4123002221133202
51412120212244
6113003530030
714146131342
oct3302513742
91147607620
10453679074
112130a9892
12107b29916
1372cb7474
1444378d22
1529c68669
hex1b0a97e2

453679074 has 96 divisors (see below), whose sum is σ = 1081080000. Its totient is φ = 136950912.

The previous prime is 453679049. The next prime is 453679081. The reversal of 453679074 is 470976354.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477629 + ... + 1477935.

It is an arithmetic number, because the mean of its divisors is an integer number (11261250).

Almost surely, 2453679074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453679074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540000).

453679074 is an abundant number, since it is smaller than the sum of its proper divisors (627400926).

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

453679074 is a wasteful number, since it uses less digits than its factorization.

453679074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 453679074 is about 21299.7435195826. The cubic root of 453679074 is about 768.3921438926.

The spelling of 453679074 in words is "four hundred fifty-three million, six hundred seventy-nine thousand, seventy-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 149 171 174 261 298 307 342 447 522 551 614 894 921 1102 1341 1653 1842 2682 2763 2831 3306 4321 4959 5526 5662 5833 8493 8642 8903 9918 11666 12963 16986 17499 17806 25479 25926 26709 34998 38889 45743 50958 52497 53418 77778 80127 82099 91486 104994 137229 160254 164198 169157 246297 274458 338314 411687 492594 507471 738891 823374 869117 1014942 1326547 1477782 1522413 1738234 2607351 2653094 3044826 3979641 5214702 7822053 7959282 11938923 15644106 23877846 25204393 50408786 75613179 151226358 226839537 453679074