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3074960 = 245717219
BaseRepresentation
bin1011101110101110010000
312210020001102
423232232100
51241344320
6145523532
735064620
oct13565620
95706042
103074960
111810299
1210435a8
13838805
145a0880
1540b175
hex2eeb90

3074960 has 120 divisors (see below), whose sum is σ = 9136320. Its totient is φ = 940032.

The previous prime is 3074927. The next prime is 3074969. The reversal of 3074960 is 694703.

It is not an unprimeable number, because it can be changed into a prime (3074969) 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, 161831 + ... + 161849.

It is an arithmetic number, because the mean of its divisors is an integer number (76136).

Almost surely, 23074960 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 3074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568160).

3074960 is an abundant number, since it is smaller than the sum of its proper divisors (6061360).

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

3074960 is a wasteful number, since it uses less digits than its factorization.

3074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 3074960 is about 1753.5563863190. The cubic root of 3074960 is about 145.4163223428.

The spelling of 3074960 in words is "three million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 19 20 28 34 35 38 40 56 68 70 76 80 85 95 112 119 133 136 140 152 170 190 238 266 272 280 289 304 323 340 380 476 532 560 578 595 646 665 680 760 952 1064 1156 1190 1292 1330 1360 1445 1520 1615 1904 2023 2128 2261 2312 2380 2584 2660 2890 3230 4046 4522 4624 4760 5168 5320 5491 5780 6460 8092 9044 9520 10115 10640 10982 11305 11560 12920 16184 18088 20230 21964 22610 23120 25840 27455 32368 36176 38437 40460 43928 45220 54910 76874 80920 87856 90440 109820 153748 161840 180880 192185 219640 307496 384370 439280 614992 768740 1537480 3074960