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424008432 = 2434476961
BaseRepresentation
bin11001010001011…
…101101011110000
31002112211212020000
4121101131223300
51332021232212
6110023550000
713336004121
oct3121355360
91075755200
10424008432
111a83838a1
12b9bbb300
1369ac9383
1440454048
15273571dc
hex1945daf0

424008432 has 100 divisors (see below), whose sum is σ = 1253494176. Its totient is φ = 138309120.

The previous prime is 424008383. The next prime is 424008433. The reversal of 424008432 is 234800424.

It is a happy number.

424008432 is nontrivially palindromic in base 11.

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

It is a junction number, because it is equal to n+sod(n) for n = 424008396 and 424008405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424008433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57432 + ... + 64392.

Almost surely, 2424008432 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 424008432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626747088).

424008432 is an abundant number, since it is smaller than the sum of its proper divisors (829485744).

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

424008432 is a wasteful number, since it uses less digits than its factorization.

424008432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424008432 is about 20591.4650280159. The cubic root of 424008432 is about 751.2621308429.

Adding to 424008432 its reverse (234800424), we get a palindrome (658808856).

The spelling of 424008432 in words is "four hundred twenty-four million, eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 564 648 752 846 1128 1269 1296 1692 2256 2538 3384 3807 5076 6768 6961 7614 10152 13922 15228 20304 20883 27844 30456 41766 55688 60912 62649 83532 111376 125298 167064 187947 250596 327167 334128 375894 501192 563841 654334 751788 981501 1002384 1127682 1308668 1503576 1963002 2255364 2617336 2944503 3007152 3926004 4510728 5234672 5889006 7852008 8833509 9021456 11778012 15704016 17667018 23556024 26500527 35334036 47112048 53001054 70668072 106002108 141336144 212004216 424008432