Search a number
-
+
3382566780 = 2235124945137
BaseRepresentation
bin1100100110011101…
…1101111101111100
322201201220012022010
43021213131331330
523411414114110
61315352051220
7146552225505
oct31147357574
98651805263
103382566780
11148640953a
127a4993b10
1341ba30b08
1424134dbac
1514be62020
hexc99ddf7c

3382566780 has 48 divisors (see below), whose sum is σ = 9478980000. Its totient is φ = 901275648.

The previous prime is 3382566769. The next prime is 3382566787. The reversal of 3382566780 is 876652833.

It is a super-2 number, since 2×33825667802 = 22883516042319136800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) 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 (3382566787) 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, 52372 + ... + 97508.

It is an arithmetic number, because the mean of its divisors is an integer number (197478750).

Almost surely, 23382566780 is an apocalyptic number.

3382566780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3382566780 is an abundant number, since it is smaller than the sum of its proper divisors (6096413220).

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

3382566780 is a wasteful number, since it uses less digits than its factorization.

3382566780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46398 (or 46396 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3382566780 is about 58159.8382047268. The cubic root of 3382566780 is about 1501.1201677191.

The spelling of 3382566780 in words is "three billion, three hundred eighty-two million, five hundred sixty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1249 2498 3747 4996 6245 7494 12490 14988 18735 24980 37470 45137 74940 90274 135411 180548 225685 270822 451370 541644 677055 902740 1354110 2708220 56376113 112752226 169128339 225504452 281880565 338256678 563761130 676513356 845641695 1127522260 1691283390 3382566780