Search a number
-
+
604350381414 = 2313312278091361
BaseRepresentation
bin10001100101101100001…
…01101111110101100110
32010202221012212022212210
420302312011233311212
534400202144201124
61141345034024250
761443236324523
oct10626605576546
92122835768783
10604350381414
1121333804253a
1299163878086
1344cb40398b0
1421371d6414a
1510ac1c54a29
hex8cb616fd66

604350381414 has 128 divisors (see below), whose sum is σ = 1352247644160. Its totient is φ = 178809753600.

The previous prime is 604350381407. The next prime is 604350381431. The reversal of 604350381414 is 414183053406.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444048094 + ... + 444049454.

It is an arithmetic number, because the mean of its divisors is an integer number (10564434720).

Almost surely, 2604350381414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 604350381414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676123822080).

604350381414 is an abundant number, since it is smaller than the sum of its proper divisors (747897262746).

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

604350381414 is a wasteful number, since it uses less digits than its factorization.

604350381414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 604350381414 in words is "six hundred four billion, three hundred fifty million, three hundred eighty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 227 403 454 681 806 809 1209 1361 1362 1618 2418 2427 2722 2951 4083 4854 5902 7037 8166 8853 10517 14074 17693 17706 21034 21111 25079 31551 35386 42191 42222 50158 53079 63102 75237 84382 91481 106158 126573 150474 182962 183643 253146 274443 308947 326027 367286 548483 548886 550929 617894 652054 926841 978081 1096966 1101049 1101858 1645449 1853682 1956162 2202098 2387359 3290898 3303147 4016311 4774718 5692933 6606294 7162077 8032622 9577357 11385866 12048933 14313637 14324154 17078799 19154714 24097866 28627274 28732071 34132519 34157598 42940911 57464142 68265038 74008129 85881822 102397557 124505641 148016258 204795114 222024387 249011282 249938123 373516923 443722747 444048774 499876246 747033846 749814369 887445494 1331168241 1499628738 2662336482 3249195599 6498391198 7748081813 9747586797 15496163626 19495173594 23244245439 46488490878 100725063569 201450127138 302175190707 604350381414