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3101472 = 253211289
BaseRepresentation
bin1011110101001100100000
312211120102100
423311030200
51243221342
6150250400
735235123
oct13651440
95746370
103101472
111829200
121056a00
138478ba
145aa3ba
15413e4c
hex2f5320

3101472 has 108 divisors (see below), whose sum is σ = 9803430. Its totient is φ = 929280.

The previous prime is 3101471. The next prime is 3101473. The reversal of 3101472 is 2741013.

It is an interprime number because it is at equal distance from previous prime (3101471) and next prime (3101473).

It can be written as a sum of positive squares in only one way, i.e., 2944656 + 156816 = 1716^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3101471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34804 + ... + 34892.

Almost surely, 23101472 is an apocalyptic number.

3101472 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 3101472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901715).

3101472 is an abundant number, since it is smaller than the sum of its proper divisors (6701958).

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

3101472 is a wasteful number, since it uses less digits than its factorization.

3101472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3101472 is about 1761.0996564647. The cubic root of 3101472 is about 145.8330486706.

Adding to 3101472 its reverse (2741013), we get a palindrome (5842485).

It can be divided in two parts, 3 and 101472, that added together give a triangular number (101475 = T450).

The spelling of 3101472 in words is "three million, one hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 89 96 99 121 132 144 176 178 198 242 264 267 288 352 356 363 396 484 528 534 712 726 792 801 968 979 1056 1068 1089 1424 1452 1584 1602 1936 1958 2136 2178 2848 2904 2937 3168 3204 3872 3916 4272 4356 5808 5874 6408 7832 8544 8712 8811 10769 11616 11748 12816 15664 17424 17622 21538 23496 25632 31328 32307 34848 35244 43076 46992 64614 70488 86152 93984 96921 129228 140976 172304 193842 258456 281952 344608 387684 516912 775368 1033824 1550736 3101472