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422697744 = 243371131237
BaseRepresentation
bin11001001100011…
…101101100010000
31002110101021022000
4121030131230100
51331202311434
6105535514000
713321604640
oct3114355420
91073337260
10422697744
111a7669087
12b9688900
136975a911
14401d2520
1527198b99
hex1931db10

422697744 has 160 divisors (see below), whose sum is σ = 1400029440. Its totient is φ = 119605248.

The previous prime is 422697727. The next prime is 422697767. The reversal of 422697744 is 447796224.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 422697744.

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, 341094 + ... + 342330.

It is an arithmetic number, because the mean of its divisors is an integer number (8750184).

Almost surely, 2422697744 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 422697744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700014720).

422697744 is an abundant number, since it is smaller than the sum of its proper divisors (977331696).

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

422697744 is a wasteful number, since it uses less digits than its factorization.

422697744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1362 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 422697744 is about 20559.6143932711. The cubic root of 422697744 is about 750.4872354003.

The spelling of 422697744 in words is "four hundred twenty-two million, six hundred ninety-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 113 126 144 168 189 216 226 252 336 339 378 432 452 504 678 756 791 904 1008 1017 1237 1356 1512 1582 1808 2034 2373 2474 2712 3024 3051 3164 3711 4068 4746 4948 5424 6102 6328 7119 7422 8136 8659 9492 9896 11133 12204 12656 14238 14844 16272 17318 18984 19792 21357 22266 24408 25977 28476 29688 33399 34636 37968 42714 44532 48816 51954 56952 59376 66798 69272 77931 85428 89064 103908 113904 133596 138544 139781 155862 170856 178128 207816 233793 267192 279562 311724 341712 415632 419343 467586 534384 559124 623448 838686 935172 978467 1118248 1246896 1258029 1677372 1870344 1956934 2236496 2516058 2935401 3354744 3740688 3774087 3913868 5032116 5870802 6709488 7548174 7827736 8806203 10064232 11741604 15096348 15655472 17612406 20128464 23483208 26418609 30192696 35224812 46966416 52837218 60385392 70449624 105674436 140899248 211348872 422697744