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40190304 = 2537115437
BaseRepresentation
bin1001100101010…
…0000101100000
32210121212201210
42121110011200
540242042204
63553230120
7665416620
oct231240540
983555653
1040190304
1120760630
1211562340
13843235b
1454a2880
1537dd389
hex2654160

40190304 has 96 divisors (see below), whose sum is σ = 131556096. Its totient is φ = 10437120.

The previous prime is 40190303. The next prime is 40190309. The reversal of 40190304 is 40309104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401903042 = 3230521071224832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40190303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4674 + ... + 10110.

It is an arithmetic number, because the mean of its divisors is an integer number (1370376).

Almost surely, 240190304 is an apocalyptic number.

40190304 is a gapful number since it is divisible by the number (44) 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 40190304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65778048).

40190304 is an abundant number, since it is smaller than the sum of its proper divisors (91365792).

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

40190304 is a wasteful number, since it uses less digits than its factorization.

40190304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40190304 is about 6339.5823206265. The cubic root of 40190304 is about 342.5366902637.

Adding to 40190304 its reverse (40309104), we get a palindrome (80499408).

The spelling of 40190304 in words is "forty million, one hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 5437 7392 10874 16311 21748 32622 38059 43496 59807 65244 76118 86992 114177 119614 130488 152236 173984 179421 228354 239228 260976 304472 358842 418649 456708 478456 521952 608944 717684 837298 913416 956912 1217888 1255947 1435368 1674596 1826832 1913824 2511894 2870736 3349192 3653664 5023788 5741472 6698384 10047576 13396768 20095152 40190304