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40195344 = 24371731227
BaseRepresentation
bin1001100101010…
…1010100010000
32210122010122110
42121111110100
540242222334
63553305320
7665440410
oct231252420
983563573
1040195344
11207643a2
1211565240
138434737
1454a4640
1537deae9
hex2655510

40195344 has 160 divisors (see below), whose sum is σ = 130277376. Its totient is φ = 10414080.

The previous prime is 40195321. The next prime is 40195349. The reversal of 40195344 is 44359104.

It is not an unprimeable number, because it can be changed into a prime (40195349) 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, 176959 + ... + 177185.

Almost surely, 240195344 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 40195344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65138688).

40195344 is an abundant number, since it is smaller than the sum of its proper divisors (90082032).

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

40195344 is a wasteful number, since it uses less digits than its factorization.

40195344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 40195344 is about 6339.9798106934. The cubic root of 40195344 is about 342.5510080849.

The spelling of 40195344 in words is "forty million, one hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 34 42 48 51 56 62 68 84 93 102 112 119 124 136 168 186 204 217 227 238 248 272 336 357 372 408 434 454 476 496 527 651 681 714 744 816 868 908 952 1054 1302 1362 1428 1488 1581 1589 1736 1816 1904 2108 2604 2724 2856 3162 3178 3472 3632 3689 3859 4216 4767 5208 5448 5712 6324 6356 7037 7378 7718 8432 9534 10416 10896 11067 11577 12648 12712 14074 14756 15436 19068 21111 22134 23154 25296 25424 27013 28148 29512 30872 38136 42222 44268 46308 49259 54026 56296 59024 61744 76272 81039 84444 88536 92616 98518 108052 112592 119629 147777 162078 168888 177072 185232 197036 216104 239258 295554 324156 337776 358887 394072 432208 478516 591108 648312 717774 788144 837403 957032 1182216 1296624 1435548 1674806 1914064 2364432 2512209 2871096 3349612 5024418 5742192 6699224 10048836 13398448 20097672 40195344