Search a number
-
+
3420560 = 2451113223
BaseRepresentation
bin1101000011000110010000
320102210010102
431003012100
51333424220
6201151532
741034323
oct15030620
96383112
103420560
111a26a10
12118b5a8
13929c00
146507ba
15478775
hex343190

3420560 has 120 divisors (see below), whose sum is σ = 9802944. Its totient is φ = 1098240.

The previous prime is 3420533. The next prime is 3420563. The reversal of 3420560 is 650243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3420563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148709 + ... + 148731.

Almost surely, 23420560 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 3420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901472).

3420560 is an abundant number, since it is smaller than the sum of its proper divisors (6382384).

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

3420560 is a wasteful number, since it uses less digits than its factorization.

3420560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3420560 is about 1849.4756013530. The cubic root of 3420560 is about 150.6719483708.

The spelling of 3420560 in words is "three million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 40 44 46 52 55 65 80 88 92 104 110 115 130 143 169 176 184 208 220 230 253 260 286 299 338 368 440 460 506 520 572 598 676 715 845 880 920 1012 1040 1144 1196 1265 1352 1430 1495 1690 1840 1859 2024 2288 2392 2530 2704 2860 2990 3289 3380 3718 3887 4048 4784 5060 5720 5980 6578 6760 7436 7774 9295 10120 11440 11960 13156 13520 14872 15548 16445 18590 19435 20240 23920 26312 29744 31096 32890 37180 38870 42757 52624 62192 65780 74360 77740 85514 131560 148720 155480 171028 213785 263120 310960 342056 427570 684112 855140 1710280 3420560