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3378326756 = 227223839029
BaseRepresentation
bin1100100101011101…
…0010110011100100
322201102220210002012
43021113102303210
523404322424011
61315121133352
7146501206100
oct31127226344
98642823065
103378326756
111483a82992
127a348a258
1341aba7c1c
14240968900
1514b8c5a8b
hexc95d2ce4

3378326756 has 72 divisors (see below), whose sum is σ = 7263587520. Its totient is φ = 1368067008.

The previous prime is 3378326747. The next prime is 3378326759. The reversal of 3378326756 is 6576238733.

3378326756 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 2×33783267562 = 22826183340610967072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3378326759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369650 + ... + 378678.

It is an arithmetic number, because the mean of its divisors is an integer number (100883160).

Almost surely, 23378326756 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 3378326756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631793760).

3378326756 is an abundant number, since it is smaller than the sum of its proper divisors (3885260764).

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

3378326756 is a wasteful number, since it uses less digits than its factorization.

3378326756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9153 (or 9144 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 50.

The square root of 3378326756 is about 58123.3752977234. The cubic root of 3378326756 is about 1500.4926908935.

The spelling of 3378326756 in words is "three billion, three hundred seventy-eight million, three hundred twenty-six thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 49 83 92 98 161 166 196 322 332 581 644 1127 1162 1909 2254 2324 3818 4067 4508 7636 8134 9029 13363 16268 18058 26726 36116 53452 63203 93541 126406 187082 207667 252812 374164 415334 442421 749407 830668 884842 1453669 1498814 1769684 2907338 2997628 5245849 5814676 10175683 10491698 17236361 20351366 20983396 34472722 36720943 40702732 68945444 73441886 120654527 146883772 241309054 482618108 844581689 1689163378 3378326756