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422491344 = 24311317389
BaseRepresentation
bin11001001011101…
…011010011010000
31002102222210011120
4121023223103100
51331124210334
6105531242240
713320055122
oct3113532320
91072883146
10422491344
111a7538000
12b95a9380
13696b79a2
144017b212
1527157949
hex192eb4d0

422491344 has 160 divisors (see below), whose sum is σ = 1274382720. Its totient is φ = 120186880.

The previous prime is 422491339. The next prime is 422491403. The reversal of 422491344 is 443194224.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085902 + ... + 1086290.

It is an arithmetic number, because the mean of its divisors is an integer number (7964892).

Almost surely, 2422491344 is an apocalyptic number.

422491344 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 422491344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637191360).

422491344 is an abundant number, since it is smaller than the sum of its proper divisors (851891376).

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

422491344 is a wasteful number, since it uses less digits than its factorization.

422491344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 422 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 422491344 is about 20554.5942309743. The cubic root of 422491344 is about 750.3650631652.

The spelling of 422491344 in words is "four hundred twenty-two million, four hundred ninety-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 121 132 136 176 187 204 242 264 272 363 374 389 408 484 528 561 726 748 778 816 968 1122 1167 1331 1452 1496 1556 1936 2057 2244 2334 2662 2904 2992 3112 3993 4114 4279 4488 4668 5324 5808 6171 6224 6613 7986 8228 8558 8976 9336 10648 12342 12837 13226 15972 16456 17116 18672 19839 21296 22627 24684 25674 26452 31944 32912 34232 39678 45254 47069 49368 51348 52904 63888 67881 68464 72743 79356 90508 94138 98736 102696 105808 135762 141207 145486 158712 181016 188276 205392 218229 271524 282414 290972 317424 362032 376552 436458 517759 543048 564828 581944 753104 800173 872916 1035518 1086096 1129656 1163888 1553277 1600346 1745832 2071036 2259312 2400519 3106554 3200692 3491664 4142072 4801038 6213108 6401384 8284144 8801903 9602076 12426216 12802768 17603806 19204152 24852432 26405709 35207612 38408304 52811418 70415224 105622836 140830448 211245672 422491344