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3945084 = 2231131319
BaseRepresentation
bin1111000011001001111100
321102102122020
433003021330
52002220314
6220320140
745350463
oct17031174
97372566
103945084
112255000
1213a3050
13a81890
147499da
1552dda9
hex3c327c

3945084 has 96 divisors (see below), whose sum is σ = 11477760. Its totient is φ = 1045440.

The previous prime is 3945079. The next prime is 3945101. The reversal of 3945084 is 4805493.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 11.

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, 207627 + ... + 207645.

It is an arithmetic number, because the mean of its divisors is an integer number (119560).

Almost surely, 23945084 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 3945084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738880).

3945084 is an abundant number, since it is smaller than the sum of its proper divisors (7532676).

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

3945084 is a wasteful number, since it uses less digits than its factorization.

3945084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3945084 is about 1986.2235523727. The cubic root of 3945084 is about 158.0103075047.

It can be divided in two parts, 39 and 45084, that multiplied together give a square (1758276 = 13262).

The spelling of 3945084 in words is "three million, nine hundred forty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 121 132 143 156 209 228 242 247 286 363 418 429 484 494 572 627 726 741 836 858 988 1254 1331 1452 1482 1573 1716 2299 2508 2662 2717 2964 3146 3993 4598 4719 5324 5434 6292 6897 7986 8151 9196 9438 10868 13794 15972 16302 17303 18876 25289 27588 29887 32604 34606 50578 51909 59774 69212 75867 89661 101156 103818 119548 151734 179322 207636 303468 328757 358644 657514 986271 1315028 1972542 3945084