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68356608 = 293191233
BaseRepresentation
bin1000001001100…
…00101000000000
311202121212122020
410010300220000
5114444402413
610441041440
71460010255
oct404605000
9152555566
1068356608
1135649371
121aa86280
13112147c8
14911542c
156003c23
hex4130a00

68356608 has 80 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 22568960.

The previous prime is 68356601. The next prime is 68356637. The reversal of 68356608 is 80665386.

It is a self number, because there is not a number n which added to its sum of digits gives 68356608.

It is not an unprimeable number, because it can be changed into a prime (68356601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293260 + ... + 293492.

Almost surely, 268356608 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 68356608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

68356608 is an abundant number, since it is smaller than the sum of its proper divisors (115488768).

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

68356608 is a wasteful number, since it uses less digits than its factorization.

68356608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 68356608 is about 8267.8055129520. The cubic root of 68356608 is about 408.8777718745.

It can be divided in two parts, 683 and 56608, that added together give a triangular number (57291 = T338).

The spelling of 68356608 in words is "sixty-eight million, three hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 233 256 382 384 466 512 573 699 764 768 932 1146 1398 1528 1536 1864 2292 2796 3056 3728 4584 5592 6112 7456 9168 11184 12224 14912 18336 22368 24448 29824 36672 44503 44736 48896 59648 73344 89006 89472 97792 119296 133509 146688 178012 178944 267018 293376 356024 357888 534036 712048 1068072 1424096 2136144 2848192 4272288 5696384 8544576 11392768 17089152 22785536 34178304 68356608