Search a number
-
+
3376666752 = 27317230427
BaseRepresentation
bin1100100101000011…
…1101100010000000
322201022210102222120
43021100331202000
523403411314002
61315021404240
7146451123324
oct31120754200
98638712876
103376666752
111483049788
127a2a09680
1341a746484
14240655984
1514b698cbc
hexc943d880

3376666752 has 96 divisors (see below), whose sum is σ = 9528223920. Its totient is φ = 1059311616.

The previous prime is 3376666751. The next prime is 3376666789. The reversal of 3376666752 is 2576666733.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33766667522 = 22803756708124459008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3376666695 and 3376666704.

It is not an unprimeable number, because it can be changed into a prime (3376666751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95763 + ... + 126189.

Almost surely, 23376666752 is an apocalyptic number.

3376666752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3376666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764111960).

3376666752 is an abundant number, since it is smaller than the sum of its proper divisors (6151557168).

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

3376666752 is a wasteful number, since it uses less digits than its factorization.

3376666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30478 (or 30449 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 51.

The square root of 3376666752 is about 58109.0935396518. The cubic root of 3376666752 is about 1500.2468855850.

The spelling of 3376666752 in words is "three billion, three hundred seventy-six million, six hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 289 384 408 544 578 816 867 1088 1156 1632 1734 2176 2312 3264 3468 4624 6528 6936 9248 13872 18496 27744 30427 36992 55488 60854 91281 110976 121708 182562 243416 365124 486832 517259 730248 973664 1034518 1460496 1551777 1947328 2069036 2920992 3103554 3894656 4138072 5841984 6207108 8276144 8793403 11683968 12414216 16552288 17586806 24828432 26380209 33104576 35173612 49656864 52760418 66209152 70347224 99313728 105520836 140694448 198627456 211041672 281388896 422083344 562777792 844166688 1125555584 1688333376 3376666752