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68693352 = 23371371443
BaseRepresentation
bin1000001100000…
…10110101101000
311210020222120020
410012002311220
5120041141402
610452200440
71462612110
oct406026550
9153228506
1068693352
1135859372
121b009120
1311301b70
1491a2040
15606d8bc
hex4182d68

68693352 has 128 divisors (see below), whose sum is σ = 214824960. Its totient is φ = 17821440.

The previous prime is 68693347. The next prime is 68693357. The reversal of 68693352 is 25339686.

It is an interprime number because it is at equal distance from previous prime (68693347) and next prime (68693357).

It is a super-3 number, since 3×686933523 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (68693357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154843 + ... + 155285.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 268693352 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 68693352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

68693352 is an abundant number, since it is smaller than the sum of its proper divisors (146131608).

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

68693352 is a wasteful number, since it uses less digits than its factorization.

68693352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 68693352 is about 8288.1452689972. The cubic root of 68693352 is about 409.5480882341.

The spelling of 68693352 in words is "sixty-eight million, six hundred ninety-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 71 78 84 91 104 142 156 168 182 213 273 284 312 364 426 443 497 546 568 728 852 886 923 994 1092 1329 1491 1704 1772 1846 1988 2184 2658 2769 2982 3101 3544 3692 3976 5316 5538 5759 5964 6202 6461 7384 9303 10632 11076 11518 11928 12404 12922 17277 18606 19383 22152 23036 24808 25844 31453 34554 37212 38766 40313 46072 51688 62906 69108 74424 77532 80626 94359 120939 125812 138216 155064 161252 188718 220171 241878 251624 322504 377436 408889 440342 483756 660513 754872 817778 880684 967512 1226667 1321026 1635556 1761368 2453334 2642052 2862223 3271112 4906668 5284104 5724446 8586669 9813336 11448892 17173338 22897784 34346676 68693352