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423462144 = 2837227347
BaseRepresentation
bin11001001111011…
…000010100000000
31002111211002212010
4121033120110000
51331401242034
6110004132520
713331240340
oct3117302400
91074732763
10423462144
111a8040416
12b9997140
1369967821
1440350d20
152729a3e9
hex193d8500

423462144 has 144 divisors (see below), whose sum is σ = 1297433088. Its totient is φ = 120109056.

The previous prime is 423462121. The next prime is 423462157. The reversal of 423462144 is 441264324.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220179 + ... + 1220525.

It is an arithmetic number, because the mean of its divisors is an integer number (9009952).

Almost surely, 2423462144 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 423462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648716544).

423462144 is an abundant number, since it is smaller than the sum of its proper divisors (873970944).

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

423462144 is a wasteful number, since it uses less digits than its factorization.

423462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 586 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 423462144 is about 20578.1958392858. The cubic root of 423462144 is about 750.9393527751.

The spelling of 423462144 in words is "four hundred twenty-three million, four hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 227 256 336 347 384 448 454 672 681 694 768 896 908 1041 1344 1362 1388 1589 1792 1816 2082 2429 2688 2724 2776 3178 3632 4164 4767 4858 5376 5448 5552 6356 7264 7287 8328 9534 9716 10896 11104 12712 14528 14574 16656 19068 19432 21792 22208 25424 29056 29148 33312 38136 38864 43584 44416 50848 58112 58296 66624 76272 77728 78769 87168 88832 101696 116592 133248 152544 155456 157538 174336 203392 233184 236307 266496 305088 310912 315076 406784 466368 472614 551383 610176 621824 630152 932736 945228 1102766 1220352 1260304 1654149 1865472 1890456 2205532 2520608 3308298 3780912 4411064 5041216 6616596 7561824 8822128 10082432 13233192 15123648 17644256 20164864 26466384 30247296 35288512 52932768 60494592 70577024 105865536 141154048 211731072 423462144