Search a number
-
+
3058640 = 2451317173
BaseRepresentation
bin1011101010101111010000
312202101122222
423222233100
51240334030
6145320212
734666214
oct13525720
95671588
103058640
1117aa002
121036068
13831260
14598944
154063e5
hex2eabd0

3058640 has 80 divisors (see below), whose sum is σ = 8155728. Its totient is φ = 1056768.

The previous prime is 3058637. The next prime is 3058661. The reversal of 3058640 is 468503.

3058640 = T110 + T111 + ... + T269.

It can be written as a sum of positive squares in 8 ways, for example, as 44944 + 3013696 = 212^2 + 1736^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17594 + ... + 17766.

Almost surely, 23058640 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 3058640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077864).

3058640 is an abundant number, since it is smaller than the sum of its proper divisors (5097088).

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

3058640 is a wasteful number, since it uses less digits than its factorization.

3058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3058640 is about 1748.8967951254. The cubic root of 3058640 is about 145.1586056798.

The spelling of 3058640 in words is "three million, fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 173 208 221 260 272 340 346 442 520 680 692 865 884 1040 1105 1360 1384 1730 1768 2210 2249 2768 2941 3460 3536 4420 4498 5882 6920 8840 8996 11245 11764 13840 14705 17680 17992 22490 23528 29410 35984 38233 44980 47056 58820 76466 89960 117640 152932 179920 191165 235280 305864 382330 611728 764660 1529320 3058640