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68991384 = 233711371009
BaseRepresentation
bin1000001110010…
…11100110011000
311210211010101110
410013023212120
5120130211014
610502420320
71465263030
oct407134630
9153733343
1068991384
1135a42280
121b1316a0
13113a7707
14923c8c0
1560cbd59
hex41cb998

68991384 has 128 divisors (see below), whose sum is σ = 221068800. Its totient is φ = 17418240.

The previous prime is 68991361. The next prime is 68991407. The reversal of 68991384 is 48319986.

It is an interprime number because it is at equal distance from previous prime (68991361) and next prime (68991407).

It is a super-3 number, since 3×689913843 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 67872 + ... + 68880.

It is an arithmetic number, because the mean of its divisors is an integer number (1727100).

Almost surely, 268991384 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 68991384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110534400).

68991384 is an abundant number, since it is smaller than the sum of its proper divisors (152077416).

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

68991384 is a wasteful number, since it uses less digits than its factorization.

68991384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 68991384 is about 8306.1052244719. The cubic root of 68991384 is about 410.1395202344.

The spelling of 68991384 in words is "sixty-eight million, nine hundred ninety-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 37 42 44 56 66 74 77 84 88 111 132 148 154 168 222 231 259 264 296 308 407 444 462 518 616 777 814 888 924 1009 1036 1221 1554 1628 1848 2018 2072 2442 2849 3027 3108 3256 4036 4884 5698 6054 6216 7063 8072 8547 9768 11099 11396 12108 14126 17094 21189 22198 22792 24216 28252 33297 34188 37333 42378 44396 56504 66594 68376 74666 77693 84756 88792 111999 133188 149332 155386 169512 223998 233079 261331 266376 298664 310772 410663 447996 466158 522662 621544 783993 821326 895992 932316 1045324 1231989 1567986 1642652 1864632 2090648 2463978 2874641 3135972 3285304 4927956 5749282 6271944 8623923 9855912 11498564 17247846 22997128 34495692 68991384