Search a number
-
+
334085284 = 22132192372
BaseRepresentation
bin10011111010011…
…011110010100100
3212021122021212001
4103322123302210
51141011212114
653052335044
711164451401
oct2372336244
9767567761
10334085284
11161645245
1293a74484
13542a3400
14325272a8
151e4e3374
hex13e9bca4

334085284 has 81 divisors (see below), whose sum is σ = 686701827. Its totient is φ = 142129728.

The previous prime is 334085237. The next prime is 334085293. The reversal of 334085284 is 482580433.

The square root of 334085284 is 18278.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1387684 + 332697600 = 1178^2 + 18240^2 .

It is a super-2 number, since 2×3340852842 = 223225953970721312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9029314 + ... + 9029350.

Almost surely, 2334085284 is an apocalyptic number.

334085284 is the 18278-th square number.

It is an amenable number.

334085284 is an abundant number, since it is smaller than the sum of its proper divisors (352616543).

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

334085284 is a wasteful number, since it uses less digits than its factorization.

334085284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The cubic root of 334085284 is about 693.8822562666.

The spelling of 334085284 in words is "three hundred thirty-four million, eighty-five thousand, two hundred eighty-four".

Divisors: 1 2 4 13 19 26 37 38 52 74 76 148 169 247 338 361 481 494 676 703 722 962 988 1369 1406 1444 1924 2738 2812 3211 4693 5476 6253 6422 9139 9386 12506 12844 13357 17797 18278 18772 25012 26011 26714 35594 36556 52022 53428 61009 71188 104044 118807 122018 173641 231361 237614 244036 338143 347282 462722 475228 494209 676286 694564 925444 988418 1352572 1976836 2257333 4395859 4514666 6424717 8791718 9029332 12849434 17583436 25698868 83521321 167042642 334085284