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3107328 = 2937172
BaseRepresentation
bin1011110110101000000000
312211212110020
423312220000
51243413303
6150333440
735261160
oct13665000
95755406
103107328
111832644
12105a280
1384a473
145ac5a0
15415a53
hex2f6a00

3107328 has 120 divisors (see below), whose sum is σ = 10049952. Its totient is φ = 835584.

The previous prime is 3107327. The next prime is 3107329. The reversal of 3107328 is 8237013.

It is an interprime number because it is at equal distance from previous prime (3107327) and next prime (3107329).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3107298 and 3107307.

It is not an unprimeable number, because it can be changed into a prime (3107327) 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, 182776 + ... + 182792.

Almost surely, 23107328 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 3107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024976).

3107328 is an abundant number, since it is smaller than the sum of its proper divisors (6942624).

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

3107328 is an equidigital number, since it uses as much as digits as its factorization.

3107328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3107328 is about 1762.7614699669. The cubic root of 3107328 is about 145.9247751592.

The spelling of 3107328 in words is "three million, one hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 289 336 357 384 408 448 476 512 544 578 672 714 768 816 867 896 952 1088 1156 1344 1428 1536 1632 1734 1792 1904 2023 2176 2312 2688 2856 3264 3468 3584 3808 4046 4352 4624 5376 5712 6069 6528 6936 7616 8092 8704 9248 10752 11424 12138 13056 13872 15232 16184 18496 22848 24276 26112 27744 30464 32368 36992 45696 48552 55488 60928 64736 73984 91392 97104 110976 129472 147968 182784 194208 221952 258944 388416 443904 517888 776832 1035776 1553664 3107328