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400040340 = 223571138429
BaseRepresentation
bin10111110110000…
…010000110010100
31000212202011011220
4113312002012110
51304402242330
6103410130340
712625200240
oct2766020624
91025664156
10400040340
111958a3257
12b1b809b0
1364b56a7b
143b1b5420
15251c0710
hex17d82194

400040340 has 96 divisors (see below), whose sum is σ = 1291610880. Its totient is φ = 90617856.

The previous prime is 400040327. The next prime is 400040363. The reversal of 400040340 is 43040004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43246 + ... + 51674.

It is an arithmetic number, because the mean of its divisors is an integer number (13454280).

Almost surely, 2400040340 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 400040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645805440).

400040340 is an abundant number, since it is smaller than the sum of its proper divisors (891570540).

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

400040340 is a wasteful number, since it uses less digits than its factorization.

400040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 400040340 is about 20001.0084745745. The cubic root of 400040340 is about 736.8310678672.

Adding to 400040340 its reverse (43040004), we get a palindrome (443080344).

The spelling of 400040340 in words is "four hundred million, forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 8429 9492 11865 15820 16858 23730 25287 33716 42145 47460 50574 59003 84290 101148 118006 126435 168580 177009 236012 252870 295015 354018 505740 590030 708036 885045 952477 1180060 1770090 1904954 2857431 3540180 3809908 4762385 5714862 6667339 9524770 11429724 13334678 14287155 19049540 20002017 26669356 28574310 33336695 40004034 57148620 66673390 80008068 100010085 133346780 200020170 400040340