Search a number
-
+
3356342232 = 23317151157347
BaseRepresentation
bin1100100000001101…
…1011011111011000
322122220112211222120
43020003123133120
523333210422412
61313014021240
7146113303215
oct31003333730
98586484876
103356342232
111472627661
12798047820
1341647b429
1423ba84b0c
151499d1b8c
hexc80db7d8

3356342232 has 128 divisors (see below), whose sum is σ = 9026173440. Its totient is φ = 1036339200.

The previous prime is 3356342207. The next prime is 3356342251. The reversal of 3356342232 is 2322436533.

3356342232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33563422322 = 22530066356613483648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3356342193 and 3356342202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9672283 + ... + 9672629.

It is an arithmetic number, because the mean of its divisors is an integer number (70516980).

Almost surely, 23356342232 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 3356342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513086720).

3356342232 is an abundant number, since it is smaller than the sum of its proper divisors (5669831208).

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

3356342232 is a wasteful number, since it uses less digits than its factorization.

3356342232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its digits is 77760, while the sum is 33.

The square root of 3356342232 is about 57933.9471467291. The cubic root of 3356342232 is about 1497.2307769708.

Adding to 3356342232 its reverse (2322436533), we get a palindrome (5678778765).

The spelling of 3356342232 in words is "three billion, three hundred fifty-six million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 151 157 204 302 314 347 408 453 471 604 628 694 906 942 1041 1208 1256 1388 1812 1884 2082 2567 2669 2776 3624 3768 4164 5134 5338 5899 7701 8007 8328 10268 10676 11798 15402 16014 17697 20536 21352 23596 23707 30804 32028 35394 47192 47414 52397 54479 61608 64056 70788 71121 94828 104794 108958 141576 142242 157191 163437 189656 209588 217916 284484 314382 326874 403019 419176 435832 568968 628764 653748 806038 890749 926143 1209057 1257528 1307496 1612076 1781498 1852286 2418114 2672247 2778429 3224152 3562996 3704572 4836228 5344494 5556858 7125992 7409144 8226329 9672456 10688988 11113716 16452658 21377976 22227432 24678987 32905316 49357974 65810632 98715948 139847593 197431896 279695186 419542779 559390372 839085558 1118780744 1678171116 3356342232