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3045840 = 24357337
BaseRepresentation
bin1011100111100111010000
312201202002220
423213213100
51234431330
6145141040
734614000
oct13474720
95652086
103045840
1117a0426
12102a780
13828495
14594000
15402710
hex2e79d0

3045840 has 160 divisors (see below), whose sum is σ = 11308800. Its totient is φ = 677376.

The previous prime is 3045811. The next prime is 3045853. The reversal of 3045840 is 485403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3045840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82302 + ... + 82338.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

Almost surely, 23045840 is an apocalyptic number.

3045840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654400).

3045840 is an abundant number, since it is smaller than the sum of its proper divisors (8262960).

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

3045840 is a wasteful number, since it uses less digits than its factorization.

3045840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3045840 is about 1745.2335087317. The cubic root of 3045840 is about 144.9558327628.

The spelling of 3045840 in words is "three million, forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 49 56 60 70 74 80 84 98 105 111 112 120 140 147 148 168 185 196 210 222 240 245 259 280 294 296 336 343 370 392 420 444 490 518 555 560 588 592 686 735 740 777 784 840 888 980 1029 1036 1110 1176 1295 1372 1470 1480 1554 1680 1715 1776 1813 1960 2058 2072 2220 2352 2590 2744 2940 2960 3108 3430 3626 3885 3920 4116 4144 4440 5145 5180 5439 5488 5880 6216 6860 7252 7770 8232 8880 9065 10290 10360 10878 11760 12432 12691 13720 14504 15540 16464 18130 20580 20720 21756 25382 27195 27440 29008 31080 36260 38073 41160 43512 50764 54390 62160 63455 72520 76146 82320 87024 101528 108780 126910 145040 152292 190365 203056 217560 253820 304584 380730 435120 507640 609168 761460 1015280 1522920 3045840