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2442440 = 2357111361
BaseRepresentation
bin1001010100010011001000
311121002101202
421110103020
51111124230
6124203332
726521550
oct11242310
94532352
102442440
111419050
12999548
13676940
14478160
15333a45
hex2544c8

2442440 has 128 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 691200.

The previous prime is 2442437. The next prime is 2442457. The reversal of 2442440 is 442442.

2442440 = 532 + 542 + ... + 1952.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 40010 + ... + 40070.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

22442440 is an apocalyptic number.

2442440 is a gapful number since it is divisible by the number (20) 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 2442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2442440 is an abundant number, since it is smaller than the sum of its proper divisors (5057080).

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

2442440 is a wasteful number, since it uses less digits than its factorization.

2442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2442440 is about 1562.8307649902. The cubic root of 2442440 is about 134.6711704318.

Adding to 2442440 its reverse (442442), we get a palindrome (2884882).

It can be divided in two parts, 2442 and 440, that added together give a palindrome (2882).

The spelling of 2442440 in words is "two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 61 65 70 77 88 91 104 110 122 130 140 143 154 182 220 244 260 280 286 305 308 364 385 427 440 455 488 520 572 610 616 671 715 728 770 793 854 910 1001 1144 1220 1342 1430 1540 1586 1708 1820 2002 2135 2440 2684 2860 3080 3172 3355 3416 3640 3965 4004 4270 4697 5005 5368 5551 5720 6344 6710 7930 8008 8540 8723 9394 10010 11102 13420 15860 17080 17446 18788 20020 22204 23485 26840 27755 31720 34892 37576 40040 43615 44408 46970 55510 61061 69784 87230 93940 111020 122122 174460 187880 222040 244244 305305 348920 488488 610610 1221220 2442440