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3314688 = 21031383
BaseRepresentation
bin1100101001010000000000
320020101220020
430221100000
51322032223
6155013440
740113546
oct14512000
96211806
103314688
111964413
12113a280
138c0970
14623d96
154571e3
hex329400

3314688 has 88 divisors (see below), whose sum is σ = 9629088. Its totient is φ = 1007616.

The previous prime is 3314687. The next prime is 3314699. The reversal of 3314688 is 8864133.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39895 + ... + 39977.

Almost surely, 23314688 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 3314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814544).

3314688 is an abundant number, since it is smaller than the sum of its proper divisors (6314400).

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

3314688 is a wasteful number, since it uses less digits than its factorization.

3314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3314688 is about 1820.6284629215. The cubic root of 3314688 is about 149.1011129966.

The spelling of 3314688 in words is "three million, three hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 332 384 416 498 512 624 664 768 832 996 1024 1079 1248 1328 1536 1664 1992 2158 2496 2656 3072 3237 3328 3984 4316 4992 5312 6474 6656 7968 8632 9984 10624 12948 13312 15936 17264 19968 21248 25896 31872 34528 39936 42496 51792 63744 69056 84992 103584 127488 138112 207168 254976 276224 414336 552448 828672 1104896 1657344 3314688