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40302144 = 263383281
BaseRepresentation
bin1001100110111…
…1011001000000
32210211120011000
42121233121000
540304132034
63555452000
7666363651
oct231573100
983746130
1040302144
1120827663
12115b7000
13847122c
1454d1528
153811599
hex266f640

40302144 has 112 divisors (see below), whose sum is σ = 120335040. Its totient is φ = 13224960.

The previous prime is 40302127. The next prime is 40302203. The reversal of 40302144 is 44120304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143284 + ... + 143564.

It is an arithmetic number, because the mean of its divisors is an integer number (1074420).

Almost surely, 240302144 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 40302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60167520).

40302144 is an abundant number, since it is smaller than the sum of its proper divisors (80032896).

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

40302144 is a wasteful number, since it uses less digits than its factorization.

40302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40302144 is about 6348.3969630136. The cubic root of 40302144 is about 342.8541285449.

Adding to 40302144 its reverse (44120304), we get a palindrome (84422448).

The spelling of 40302144 in words is "forty million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 281 288 332 432 498 562 576 664 747 843 864 996 1124 1328 1494 1686 1728 1992 2241 2248 2529 2656 2988 3372 3984 4482 4496 5058 5312 5976 6744 7587 7968 8964 8992 10116 11952 13488 15174 15936 17928 17984 20232 23323 23904 26976 30348 35856 40464 46646 47808 53952 60696 69969 71712 80928 93292 121392 139938 143424 161856 186584 209907 242784 279876 373168 419814 485568 559752 629721 746336 839628 1119504 1259442 1492672 1679256 2239008 2518884 3358512 4478016 5037768 6717024 10075536 13434048 20151072 40302144