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3880240 = 245713241
BaseRepresentation
bin1110110011010100110000
321022010200121
432303110300
51443131430
6215100024
744660440
oct16632460
97263617
103880240
112210311
121371614
13a5b200
14730120
15519a7a
hex3b3530

3880240 has 120 divisors (see below), whose sum is σ = 11436768. Its totient is φ = 1198080.

The previous prime is 3880223. The next prime is 3880241. The reversal of 3880240 is 420883.

3880240 is digitally balanced in base 2, because in such base 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 (3880241) 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 23 ways as a sum of consecutive naturals, for example, 94620 + ... + 94660.

Almost surely, 23880240 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 3880240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718384).

3880240 is an abundant number, since it is smaller than the sum of its proper divisors (7556528).

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

3880240 is a wasteful number, since it uses less digits than its factorization.

3880240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3880240 is about 1969.8324801871. The cubic root of 3880240 is about 157.1398000192.

The spelling of 3880240 in words is "three million, eight hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 41 52 56 65 70 80 82 91 104 112 130 140 164 169 182 205 208 260 280 287 328 338 364 410 455 520 533 560 574 656 676 728 820 845 910 1040 1066 1148 1183 1352 1435 1456 1640 1690 1820 2132 2296 2366 2665 2704 2870 3280 3380 3640 3731 4264 4592 4732 5330 5740 5915 6760 6929 7280 7462 8528 9464 10660 11480 11830 13520 13858 14924 18655 18928 21320 22960 23660 27716 29848 34645 37310 42640 47320 48503 55432 59696 69290 74620 94640 97006 110864 138580 149240 194012 242515 277160 298480 388024 485030 554320 776048 970060 1940120 3880240