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3135402348 = 22313374113249
BaseRepresentation
bin1011101011100010…
…0111000101101100
322002111210221102220
42322320213011230
522410130333343
61235042315340
7140461323501
oct27270470554
98074727386
103135402348
111369942211
12736058b50
133ac771c80
1421a5b14a8
151353dd183
hexbae2716c

3135402348 has 96 divisors (see below), whose sum is σ = 8289624000. Its totient is φ = 915701760.

The previous prime is 3135402317. The next prime is 3135402371. The reversal of 3135402348 is 8432045313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230028 + ... + 243276.

It is an arithmetic number, because the mean of its divisors is an integer number (86350250).

Almost surely, 23135402348 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 3135402348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144812000).

3135402348 is an abundant number, since it is smaller than the sum of its proper divisors (5154221652).

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

3135402348 is a wasteful number, since it uses less digits than its factorization.

3135402348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13347 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3135402348 is about 55994.6635671650. The cubic root of 3135402348 is about 1463.6292937744.

The spelling of 3135402348 in words is "three billion, one hundred thirty-five million, four hundred two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 41 52 74 78 82 111 123 148 156 164 222 246 444 481 492 533 962 1066 1443 1517 1599 1924 2132 2886 3034 3198 4551 5772 6068 6396 9102 13249 18204 19721 26498 39442 39747 52996 59163 78884 79494 118326 158988 172237 236652 344474 490213 516711 543209 688948 980426 1033422 1086418 1470639 1629627 1960852 2066844 2172836 2941278 3259254 5882556 6372769 6518508 7061717 12745538 14123434 19118307 20098733 21185151 25491076 28246868 38236614 40197466 42370302 60296199 76473228 80394932 84740604 120592398 241184796 261283529 522567058 783850587 1045134116 1567701174 3135402348