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40302444 = 223713217167
BaseRepresentation
bin1001100110111…
…1011101101100
32210211120120010
42121233131230
540304134234
63555453220
7666364560
oct231573554
983746503
1040302444
1120827906
12115b7210
138471400
1454d16a0
1538116e9
hex266f76c

40302444 has 144 divisors (see below), whose sum is σ = 123959808. Its totient is φ = 9944064.

The previous prime is 40302421. The next prime is 40302473. The reversal of 40302444 is 44420304.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40302444.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241249 + ... + 241415.

It is an arithmetic number, because the mean of its divisors is an integer number (860832).

Almost surely, 240302444 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 40302444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61979904).

40302444 is an abundant number, since it is smaller than the sum of its proper divisors (83657364).

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

40302444 is a wasteful number, since it uses less digits than its factorization.

40302444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 40302444 is about 6348.4205909817. The cubic root of 40302444 is about 342.8549792522.

Adding to 40302444 its reverse (44420304), we get a palindrome (84722748).

The spelling of 40302444 in words is "forty million, three hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 167 169 182 204 221 238 273 334 338 357 364 442 476 501 507 546 663 668 676 714 884 1002 1014 1092 1169 1183 1326 1428 1547 2004 2028 2171 2338 2366 2652 2839 2873 3094 3507 3549 4342 4641 4676 4732 5678 5746 6188 6513 7014 7098 8517 8619 8684 9282 11356 11492 13026 14028 14196 15197 17034 17238 18564 19873 20111 26052 28223 30394 34068 34476 36907 39746 40222 45591 56446 59619 60333 60788 73814 79492 80444 84669 91182 110721 112892 119238 120666 147628 169338 182364 197561 221442 238476 241332 258349 338676 395122 442884 479791 516698 592683 775047 790244 959582 1033396 1185366 1439373 1550094 1919164 2370732 2878746 3100188 3358537 5757492 6717074 10075611 13434148 20151222 40302444