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68444352 = 2638163
BaseRepresentation
bin1000001010001…
…10000011000000
311202210100000000
410011012003000
5120010204402
610443000000
71460524134
oct405060300
9152710000
1068444352
11356a9289
121ab09000
1311245722
1491393c4
15601ec1c
hex41460c0

68444352 has 126 divisors (see below), whose sum is σ = 204968348. Its totient is φ = 22674816.

The previous prime is 68444303. The next prime is 68444371. The reversal of 68444352 is 25344486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419823 + ... + 419985.

Almost surely, 268444352 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 68444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102484174).

68444352 is an abundant number, since it is smaller than the sum of its proper divisors (136523996).

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

68444352 is an frugal number, since it uses more digits than its factorization.

68444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 68444352 is about 8273.1101769528. The cubic root of 68444352 is about 409.0526451484.

The spelling of 68444352 in words is "sixty-eight million, four hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 163 192 216 243 288 324 326 432 486 489 576 648 652 729 864 972 978 1296 1304 1458 1467 1728 1944 1956 2187 2592 2608 2916 2934 3888 3912 4374 4401 5184 5216 5832 5868 6561 7776 7824 8748 8802 10432 11664 11736 13122 13203 15552 15648 17496 17604 23328 23472 26244 26406 31296 34992 35208 39609 46656 46944 52488 52812 69984 70416 79218 93888 104976 105624 118827 139968 140832 158436 209952 211248 237654 281664 316872 356481 419904 422496 475308 633744 712962 844992 950616 1069443 1267488 1425924 1901232 2138886 2534976 2851848 3802464 4277772 5703696 7604928 8555544 11407392 17111088 22814784 34222176 68444352