Search a number
-
+
353113332 = 2231121321439
BaseRepresentation
bin10101000011000…
…001010011110100
3220121110000102120
4111003001103310
51210344111312
655012235540
711515261635
oct2503012364
9817400376
10353113332
11171361300
129a30bbb0
1358206300
1434c7b88c
152100128c
hex150c14f4

353113332 has 108 divisors (see below), whose sum is σ = 981348480. Its totient is φ = 98704320.

The previous prime is 353113261. The next prime is 353113333. The reversal of 353113332 is 233311353.

It is a super-2 number, since 2×3531133322 = 249378050472284448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353113333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244669 + ... + 246107.

It is an arithmetic number, because the mean of its divisors is an integer number (9086560).

Almost surely, 2353113332 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 353113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490674240).

353113332 is an abundant number, since it is smaller than the sum of its proper divisors (628235148).

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

353113332 is a wasteful number, since it uses less digits than its factorization.

353113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1468 counting only the distinct ones).

The product of its digits is 2430, while the sum is 24.

The square root of 353113332 is about 18791.3100128756. The cubic root of 353113332 is about 706.8132869892.

Adding to 353113332 its reverse (233311353), we get a palindrome (586424685).

The spelling of 353113332 in words is "three hundred fifty-three million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 169 242 286 338 363 429 484 507 572 676 726 858 1014 1439 1452 1573 1716 1859 2028 2878 3146 3718 4317 4719 5577 5756 6292 7436 8634 9438 11154 15829 17268 18707 18876 20449 22308 31658 37414 40898 47487 56121 61347 63316 74828 81796 94974 112242 122694 174119 189948 205777 224484 243191 245388 348238 411554 486382 522357 617331 696476 729573 823108 972764 1044714 1234662 1459146 2089428 2263547 2469324 2675101 2918292 4527094 5350202 6790641 8025303 9054188 10700404 13581282 16050606 27162564 29426111 32101212 58852222 88278333 117704444 176556666 353113332