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68952384 = 263447283
BaseRepresentation
bin1000001110000…
…10000101000000
311210202010220000
410013002011000
5120122434014
610501520000
71465041234
oct407020500
9153663800
1068952384
1135a15a46
121b113000
1311392a37
14922c5c4
1560c0509
hex41c2140

68952384 has 140 divisors (see below), whose sum is σ = 209482944. Its totient is φ = 22415616.

The previous prime is 68952383. The next prime is 68952421. The reversal of 68952384 is 48325986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68952383) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 243507 + ... + 243789.

Almost surely, 268952384 is an apocalyptic number.

68952384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68952384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104741472).

68952384 is an abundant number, since it is smaller than the sum of its proper divisors (140530560).

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

68952384 is a wasteful number, since it uses less digits than its factorization.

68952384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 68952384 is about 8303.7572218846. The cubic root of 68952384 is about 410.0622233542.

The spelling of 68952384 in words is "sixty-eight million, nine hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 141 144 162 188 192 216 282 283 288 324 376 423 432 564 566 576 648 752 846 849 864 1128 1132 1269 1296 1504 1692 1698 1728 2256 2264 2538 2547 2592 3008 3384 3396 3807 4512 4528 5076 5094 5184 6768 6792 7614 7641 9024 9056 10152 10188 13301 13536 13584 15228 15282 18112 20304 20376 22923 26602 27072 27168 30456 30564 39903 40608 40752 45846 53204 54336 60912 61128 79806 81216 81504 91692 106408 119709 121824 122256 159612 163008 183384 212816 239418 243648 244512 319224 359127 366768 425632 478836 489024 638448 718254 733536 851264 957672 1077381 1276896 1436508 1467072 1915344 2154762 2553792 2873016 3830688 4309524 5746032 7661376 8619048 11492064 17238096 22984128 34476192 68952384