Search a number
-
+
3368267928 = 233334744939
BaseRepresentation
bin1100100011000011…
…1011000010011000
322200201222201222000
43020300323002120
523344234033203
61314121401000
7146316543054
oct31060730230
98621881860
103368267928
111479332603
127a0039160
13418a9565c
1423d4aac64
1514aa8a4a3
hexc8c3b098

3368267928 has 64 divisors (see below), whose sum is σ = 9383472000. Its totient is φ = 1119495456.

The previous prime is 3368267911. The next prime is 3368267951. The reversal of 3368267928 is 8297628633.

It is a happy number.

It is a super-2 number, since 2×33682679282 = 22690457669586826368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52483 + ... + 97421.

It is an arithmetic number, because the mean of its divisors is an integer number (146616750).

Almost surely, 23368267928 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 3368267928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691736000).

3368267928 is an abundant number, since it is smaller than the sum of its proper divisors (6015204072).

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

3368267928 is a wasteful number, since it uses less digits than its factorization.

3368267928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45301 (or 45291 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3368267928 is about 58036.7808204418. The cubic root of 3368267928 is about 1499.0019921341.

The spelling of 3368267928 in words is "three billion, three hundred sixty-eight million, two hundred sixty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 347 694 1041 1388 2082 2776 3123 4164 6246 8328 9369 12492 18738 24984 37476 44939 74952 89878 134817 179756 269634 359512 404451 539268 808902 1078536 1213353 1617804 2426706 3235608 4853412 9706824 15593833 31187666 46781499 62375332 93562998 124750664 140344497 187125996 280688994 374251992 421033491 561377988 842066982 1122755976 1684133964 3368267928