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40111344 = 24327133061
BaseRepresentation
bin1001100100000…
…0110011110000
32210110212102100
42121000303300
540232030334
63551420400
7664640460
oct231006360
983425370
1040111344
1120707279
1211524700
138405430
145481ba0
1537c4c99
hex2640cf0

40111344 has 120 divisors (see below), whose sum is σ = 138206432. Its totient is φ = 10575360.

The previous prime is 40111339. The next prime is 40111361. The reversal of 40111344 is 44311104.

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 23 ways as a sum of consecutive naturals, for example, 11574 + ... + 14634.

Almost surely, 240111344 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 40111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69103216).

40111344 is an abundant number, since it is smaller than the sum of its proper divisors (98095088).

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

40111344 is a wasteful number, since it uses less digits than its factorization.

40111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40111344 is about 6333.3517192716. The cubic root of 40111344 is about 342.3122212900.

Adding to 40111344 its reverse (44311104), we get a palindrome (84422448).

The spelling of 40111344 in words is "forty million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3061 3276 4368 6122 6552 9183 12244 13104 18366 21427 24488 27549 36732 39793 42854 48976 55098 64281 73464 79586 85708 110196 119379 128562 146928 159172 171416 192843 220392 238758 257124 278551 318344 342832 358137 385686 440784 477516 514248 557102 636688 716274 771372 835653 955032 1028496 1114204 1432548 1542744 1671306 1910064 2228408 2506959 2865096 3085488 3342612 4456816 5013918 5730192 6685224 10027836 13370448 20055672 40111344