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40243284 = 22331723953
BaseRepresentation
bin1001100110000…
…1000001010100
32210201120102000
42121201001110
540300241114
63554315300
7666030234
oct231410124
983646360
1040243284
1120797414
1211588b30
1384504c3
1454b7cc4
1537ede09
hex2661054

40243284 has 96 divisors (see below), whose sum is σ = 115395840. Its totient is φ = 12063744.

The previous prime is 40243283. The next prime is 40243303. The reversal of 40243284 is 48234204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40243283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41752 + ... + 42704.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 240243284 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 40243284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

40243284 is an abundant number, since it is smaller than the sum of its proper divisors (75152556).

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

40243284 is a wasteful number, since it uses less digits than its factorization.

40243284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 40243284 is about 6343.7594531949. The cubic root of 40243284 is about 342.6871380389.

Adding to 40243284 its reverse (48234204), we get a palindrome (88477488).

The spelling of 40243284 in words is "forty million, two hundred forty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 391 414 459 612 621 782 828 918 953 1173 1242 1564 1836 1906 2346 2484 2859 3519 3812 4692 5718 7038 8577 10557 11436 14076 16201 17154 21114 21919 25731 32402 34308 42228 43838 48603 51462 64804 65757 87676 97206 102924 131514 145809 194412 197271 263028 291618 372623 394542 437427 583236 591813 745246 789084 874854 1117869 1183626 1490492 1749708 2235738 2367252 3353607 4471476 6707214 10060821 13414428 20121642 40243284