Search a number
-
+
3078640 = 245291327
BaseRepresentation
bin1011101111100111110000
312210102002201
423233213300
51242004030
6145552544
735111425
oct13574760
95712081
103078640
111813034
121045754
1383a3a6
145a1d4c
1540c2ca
hex2ef9f0

3078640 has 40 divisors (see below), whose sum is σ = 7410240. Its totient is φ = 1188096.

The previous prime is 3078637. The next prime is 3078643. The reversal of 3078640 is 468703.

It is an interprime number because it is at equal distance from previous prime (3078637) and next prime (3078643).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3078599 and 3078608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3078643) 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, 1657 + ... + 2983.

It is an arithmetic number, because the mean of its divisors is an integer number (185256).

Almost surely, 23078640 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 3078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705120).

3078640 is an abundant number, since it is smaller than the sum of its proper divisors (4331600).

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

3078640 is a wasteful number, since it uses less digits than its factorization.

3078640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3078640 is about 1754.6053687368. The cubic root of 3078640 is about 145.4743088676.

The spelling of 3078640 in words is "three million, seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1327 2320 2654 5308 6635 10616 13270 21232 26540 38483 53080 76966 106160 153932 192415 307864 384830 615728 769660 1539320 3078640