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423114624 = 2733235323
BaseRepresentation
bin11001001110000…
…011011110000000
31002111011110011000
4121032003132000
51331304131444
6105552452000
713325262222
oct3116033600
91074143130
10423114624
111a7923309
12b984a000
13698755aa
14402a0412
152722c469
hex19383780

423114624 has 128 divisors (see below), whose sum is σ = 1303315200. Its totient is φ = 134880768.

The previous prime is 423114623. The next prime is 423114641. The reversal of 423114624 is 426411324.

It is a happy number.

423114624 is a `hidden beast` number, since 4 + 2 + 31 + 1 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4231146242 = 358051970085322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423114623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76827 + ... + 82149.

It is an arithmetic number, because the mean of its divisors is an integer number (10182150).

Almost surely, 2423114624 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 423114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651657600).

423114624 is an abundant number, since it is smaller than the sum of its proper divisors (880200576).

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

423114624 is a wasteful number, since it uses less digits than its factorization.

423114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5351 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 423114624 is about 20569.7502172486. The cubic root of 423114624 is about 750.7338736717.

Adding to 423114624 its reverse (426411324), we get a palindrome (849525948).

The spelling of 423114624 in words is "four hundred twenty-three million, one hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 5323 6624 8832 9936 10646 13248 15969 19872 21292 26496 31938 39744 42584 47907 63876 79488 85168 95814 122429 127752 143721 170336 191628 244858 255504 287442 340672 367287 383256 489716 511008 574884 681344 734574 766512 979432 1022016 1101861 1149768 1469148 1533024 1958864 2044032 2203722 2299536 2938296 3066048 3305583 3917728 4407444 4599072 5876592 6132096 6611166 7835456 8814888 9198144 11753184 13222332 15670912 17629776 18396288 23506368 26444664 35259552 47012736 52889328 70519104 105778656 141038208 211557312 423114624