Search a number
-
+
464252334 = 237135361263
BaseRepresentation
bin11011101010111…
…110110110101110
31012100120110110220
4123222332312232
51422322033314
6114022312210
714335036230
oct3352766656
91170513426
10464252334
11219070717
1210b588666
1375249c30
144592c250
152ab563a9
hex1babedae

464252334 has 128 divisors (see below), whose sum is σ = 1187923968. Its totient is φ = 117711360.

The previous prime is 464252317. The next prime is 464252351. The reversal of 464252334 is 433252464.

It is an interprime number because it is at equal distance from previous prime (464252317) and next prime (464252351).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 464252295 and 464252304.

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, 1765087 + ... + 1765349.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2464252334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464252334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593961984).

464252334 is an abundant number, since it is smaller than the sum of its proper divisors (723671634).

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

464252334 is a wasteful number, since it uses less digits than its factorization.

464252334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402.

The product of its digits is 69120, while the sum is 33.

The square root of 464252334 is about 21546.5155883730. The cubic root of 464252334 is about 774.3156408812.

The spelling of 464252334 in words is "four hundred sixty-four million, two hundred fifty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 61 78 91 106 122 159 182 183 263 273 318 366 371 427 526 546 689 742 789 793 854 1113 1281 1378 1578 1586 1841 2067 2226 2379 2562 3233 3419 3682 4134 4758 4823 5523 5551 6466 6838 9646 9699 10257 11046 11102 13939 14469 16043 16653 19398 20514 22631 23933 27878 28938 32086 33306 41817 42029 45262 47866 48129 67893 71799 83634 84058 96258 97573 112301 126087 135786 143598 181207 195146 208559 224602 252174 292719 294203 336903 362414 417118 543621 585438 588406 625677 673806 850279 882609 1087242 1251354 1268449 1459913 1700558 1765218 2536898 2550837 2919826 3805347 4379739 5101674 5951953 7610694 8759478 11053627 11903906 17855859 22107254 33160881 35711718 66321762 77375389 154750778 232126167 464252334