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345694128 = 24313737589
BaseRepresentation
bin10100100110101…
…101111110110000
3220002111002012020
4110212231332300
51201444203003
654145231440
711365231413
oct2446557660
9802432166
10345694128
1116815412a
1297932580
1356809350
1433ca9b7a
1520537d53
hex149adfb0

345694128 has 80 divisors (see below), whose sum is σ = 975041760. Its totient is φ = 104896512.

The previous prime is 345694121. The next prime is 345694169. The reversal of 345694128 is 821496543.

Its product of digits (207360) is a multiple of the sum of its prime divisors (7680).

It is a self number, because there is not a number n which added to its sum of digits gives 345694128.

It is not an unprimeable number, because it can be changed into a prime (345694121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41758 + ... + 49346.

It is an arithmetic number, because the mean of its divisors is an integer number (12188022).

Almost surely, 2345694128 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 345694128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487520880).

345694128 is an abundant number, since it is smaller than the sum of its proper divisors (629347632).

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

345694128 is a wasteful number, since it uses less digits than its factorization.

345694128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7686 (or 7680 counting only the distinct ones).

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

The square root of 345694128 is about 18592.8515295530. The cubic root of 345694128 is about 701.8279624854.

The spelling of 345694128 in words is "three hundred forty-five million, six hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 876 949 1168 1752 1898 2847 3504 3796 5694 7589 7592 11388 15178 15184 22767 22776 30356 45534 45552 60712 91068 98657 121424 182136 197314 295971 364272 394628 553997 591942 789256 1107994 1183884 1578512 1661991 2215988 2367768 3323982 4431976 4735536 6647964 7201961 8863952 13295928 14403922 21605883 26591856 28807844 43211766 57615688 86423532 115231376 172847064 345694128