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3045900 = 22352111371
BaseRepresentation
bin1011100111101000001100
312201202012010
423213220030
51234432100
6145141220
734614114
oct13475014
95652163
103045900
1117a0480
12102a810
13828510
14594044
15402750
hex2e7a0c

3045900 has 144 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 672000.

The previous prime is 3045893. The next prime is 3045901. The reversal of 3045900 is 95403.

3045900 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3045901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42865 + ... + 42935.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

Almost surely, 23045900 is an apocalyptic number.

3045900 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 3045900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

3045900 is an abundant number, since it is smaller than the sum of its proper divisors (7453428).

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

3045900 is a wasteful number, since it uses less digits than its factorization.

3045900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3045900 is about 1745.2506983239. The cubic root of 3045900 is about 144.9567845848.

The spelling of 3045900 in words is "three million, forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 71 75 78 100 110 130 132 142 143 150 156 165 195 213 220 260 275 284 286 300 325 330 355 390 426 429 550 572 650 660 710 715 780 781 825 852 858 923 975 1065 1100 1300 1420 1430 1562 1650 1716 1775 1846 1950 2130 2145 2343 2769 2860 3124 3300 3550 3575 3692 3900 3905 4260 4290 4615 4686 5325 5538 7100 7150 7810 8580 9230 9372 10153 10650 10725 11076 11715 13845 14300 15620 18460 19525 20306 21300 21450 23075 23430 27690 30459 39050 40612 42900 46150 46860 50765 55380 58575 60918 69225 78100 92300 101530 117150 121836 138450 152295 203060 234300 253825 276900 304590 507650 609180 761475 1015300 1522950 3045900