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3393849088 = 28723671229
BaseRepresentation
bin1100101001001010…
…0000011100000000
322202112010101201101
43022102200130000
523422311132323
61320433544144
7150050145520
oct31222403400
98675111641
103393849088
111491815063
127a8715054
13421181236
14242a49680
1514ce3edad
hexca4a0700

3393849088 has 144 divisors (see below), whose sum is σ = 8206087680. Its totient is φ = 1369387008.

The previous prime is 3393849083. The next prime is 3393849097. The reversal of 3393849088 is 8809483933.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3393849083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2760858 + ... + 2762086.

It is an arithmetic number, because the mean of its divisors is an integer number (56986720).

Almost surely, 23393849088 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 3393849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103043840).

3393849088 is an abundant number, since it is smaller than the sum of its proper divisors (4812238592).

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

3393849088 is a wasteful number, since it uses less digits than its factorization.

3393849088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The square root of 3393849088 is about 58256.7514370652. The cubic root of 3393849088 is about 1502.7872750055.

The spelling of 3393849088 in words is "three billion, three hundred ninety-three million, eight hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 67 92 112 128 134 161 184 224 256 268 322 368 448 469 536 644 736 896 938 1072 1229 1288 1472 1541 1792 1876 2144 2458 2576 2944 3082 3752 4288 4916 5152 5888 6164 7504 8576 8603 9832 10304 10787 12328 15008 17152 17206 19664 20608 21574 24656 28267 30016 34412 39328 41216 43148 49312 56534 60032 68824 78656 82343 86296 98624 113068 120064 137648 157312 164686 172592 197248 197869 226136 275296 314624 329372 345184 394496 395738 452272 550592 576401 658744 690368 791476 904544 1101184 1152802 1317488 1380736 1582952 1809088 1893889 2202368 2305604 2634976 2761472 3165904 3618176 3787778 4611208 5269952 6331808 7236352 7575556 9222416 10539904 12663616 13257223 15151112 18444832 21079808 25327232 26514446 30302224 36889664 50654464 53028892 60604448 73779328 106057784 121208896 147558656 212115568 242417792 424231136 484835584 848462272 1696924544 3393849088