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4338264 = 233731731
BaseRepresentation
bin10000100011001001011000
322011101222110
4100203021120
52102311024
6232552320
751606000
oct20431130
98141873
104338264
1124a3447
1215526a0
13b8b828
1480d000
155aa629
hex423258

4338264 has 128 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 1128960.

The previous prime is 4338239. The next prime is 4338277. The reversal of 4338264 is 4628334.

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

It is a d-powerful number, because it can be written as 46 + 37 + 38 + 8 + 217 + 62 + 411 .

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, 139929 + ... + 139959.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

Almost surely, 24338264 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 4338264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912000).

4338264 is an abundant number, since it is smaller than the sum of its proper divisors (9485736).

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

4338264 is a wasteful number, since it uses less digits than its factorization.

4338264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 4338264 is about 2082.8499705932. The cubic root of 4338264 is about 163.0942533910.

The spelling of 4338264 in words is "four million, three hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 31 34 42 49 51 56 62 68 84 93 98 102 119 124 136 147 168 186 196 204 217 238 248 294 343 357 372 392 408 434 476 527 588 651 686 714 744 833 868 952 1029 1054 1176 1302 1372 1428 1519 1581 1666 1736 2058 2108 2499 2604 2744 2856 3038 3162 3332 3689 4116 4216 4557 4998 5208 5831 6076 6324 6664 7378 8232 9114 9996 10633 11067 11662 12152 12648 14756 17493 18228 19992 21266 22134 23324 25823 29512 31899 34986 36456 42532 44268 46648 51646 63798 69972 77469 85064 88536 103292 127596 139944 154938 180761 206584 255192 309876 361522 542283 619752 723044 1084566 1446088 2169132 4338264