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244323432 = 233319371609
BaseRepresentation
bin11101001000000…
…01010001101000
3122000201220202000
432210001101220
51000021322212
640124411000
76024500133
oct1644012150
9560656660
10244323432
11115a068a1
12699a6a60
133b8059a2
142463d21a
15166b21dc
hexe901468

244323432 has 128 divisors (see below), whose sum is σ = 734160000. Its totient is φ = 75022848.

The previous prime is 244323419. The next prime is 244323467. The reversal of 244323432 is 234323442.

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 junction number, because it is equal to n+sod(n) for n = 244323396 and 244323405.

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, 151044 + ... + 152652.

It is an arithmetic number, because the mean of its divisors is an integer number (5735625).

Almost surely, 2244323432 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 244323432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367080000).

244323432 is an abundant number, since it is smaller than the sum of its proper divisors (489836568).

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

244323432 is a wasteful number, since it uses less digits than its factorization.

244323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1670 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 244323432 is about 15630.8487293557. The cubic root of 244323432 is about 625.1559563876.

Adding to 244323432 its reverse (234323442), we get a palindrome (478646874).

The spelling of 244323432 in words is "two hundred forty-four million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 37 38 54 57 72 74 76 108 111 114 148 152 171 216 222 228 296 333 342 444 456 513 666 684 703 888 999 1026 1332 1368 1406 1609 1998 2052 2109 2664 2812 3218 3996 4104 4218 4827 5624 6327 6436 7992 8436 9654 12654 12872 14481 16872 18981 19308 25308 28962 30571 37962 38616 43443 50616 57924 59533 61142 75924 86886 91713 115848 119066 122284 151848 173772 178599 183426 238132 244568 275139 347544 357198 366852 476264 535797 550278 714396 733704 825417 1071594 1100556 1131127 1428792 1607391 1650834 2143188 2201112 2262254 3214782 3301668 3393381 4286376 4524508 6429564 6603336 6786762 9049016 10180143 12859128 13573524 20360286 27147048 30540429 40720572 61080858 81441144 122161716 244323432