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688348740 = 223537311997
BaseRepresentation
bin101001000001110…
…101111001000100
31202222020201221210
4221001311321010
52402204124430
6152145411420
723025603432
oct5101657104
91688221853
10688348740
11323611662
12172639b70
13ac7c0061
14675c3d52
15406702b0
hex29075e44

688348740 has 96 divisors (see below), whose sum is σ = 1987824384. Its totient is φ = 177845760.

The previous prime is 688348733. The next prime is 688348753. The reversal of 688348740 is 47843886.

It is a self number, because there is not a number n which added to its sum of digits gives 688348740.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689922 + ... + 690918.

It is an arithmetic number, because the mean of its divisors is an integer number (20706504).

Almost surely, 2688348740 is an apocalyptic number.

688348740 is a gapful number since it is divisible by the number (60) 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 688348740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993912192).

688348740 is an abundant number, since it is smaller than the sum of its proper divisors (1299475644).

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

688348740 is a wasteful number, since it uses less digits than its factorization.

688348740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 688348740 is about 26236.4010489244. The cubic root of 688348740 is about 882.9501281543.

The spelling of 688348740 in words is "six hundred eighty-eight million, three hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 311 370 444 555 622 740 933 997 1110 1244 1555 1866 1994 2220 2991 3110 3732 3988 4665 4985 5982 6220 9330 9970 11507 11964 14955 18660 19940 23014 29910 34521 36889 46028 57535 59820 69042 73778 110667 115070 138084 147556 172605 184445 221334 230140 310067 345210 368890 442668 553335 620134 690420 737780 930201 1106670 1240268 1550335 1860402 2213340 3100670 3720804 4651005 6201340 9302010 11472479 18604020 22944958 34417437 45889916 57362395 68834874 114724790 137669748 172087185 229449580 344174370 688348740