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3082640 = 2451131113
BaseRepresentation
bin1011110000100110010000
312210121120212
423300212100
51242121030
6150023252
735126201
oct13604620
95717525
103082640
111816040
121047b28
1383c162
145a35a8
1540d595
hex2f0990

3082640 has 80 divisors (see below), whose sum is σ = 8142336. Its totient is φ = 1075200.

The previous prime is 3082601. The next prime is 3082649. The reversal of 3082640 is 462803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3082649) 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, 27224 + ... + 27336.

Almost surely, 23082640 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 3082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168).

3082640 is an abundant number, since it is smaller than the sum of its proper divisors (5059696).

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

3082640 is a wasteful number, since it uses less digits than its factorization.

3082640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3082640 is about 1755.7448561793. The cubic root of 3082640 is about 145.5372853120.

The spelling of 3082640 in words is "three million, eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 113 124 155 176 220 226 248 310 341 440 452 496 565 620 682 880 904 1130 1240 1243 1364 1705 1808 2260 2480 2486 2728 3410 3503 4520 4972 5456 6215 6820 7006 9040 9944 12430 13640 14012 17515 19888 24860 27280 28024 35030 38533 49720 56048 70060 77066 99440 140120 154132 192665 280240 308264 385330 616528 770660 1541320 3082640