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345475000 = 2355131063
BaseRepresentation
bin10100100101111…
…000011110111000
3220002001221121101
4110211320132320
51201420200000
654140421144
711363326513
oct2445703670
9802057541
10345475000
11168014532
12978477b4
13567606a0
1433c4dd7a
15204e2e6a
hex149787b8

345475000 has 96 divisors (see below), whose sum is σ = 872756640. Its totient is φ = 127440000.

The previous prime is 345474991. The next prime is 345475007. The reversal of 345475000 is 574543.

345475000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 345475000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345475007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324469 + ... + 325531.

It is an arithmetic number, because the mean of its divisors is an integer number (9091215).

Almost surely, 2345475000 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 345475000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436378320).

345475000 is an abundant number, since it is smaller than the sum of its proper divisors (527281640).

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

345475000 is a wasteful number, since it uses less digits than its factorization.

345475000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 345475000 is about 18586.9577930333. The cubic root of 345475000 is about 701.6796399738.

The spelling of 345475000 in words is "three hundred forty-five million, four hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1063 1250 1300 1625 2126 2500 2600 3125 3250 4252 5000 5315 6250 6500 8125 8504 10630 12500 13000 13819 16250 21260 25000 26575 27638 32500 40625 42520 53150 55276 65000 69095 81250 106300 110552 132875 138190 162500 212600 265750 276380 325000 345475 531500 552760 664375 690950 1063000 1328750 1381900 1727375 2657500 2763800 3321875 3454750 5315000 6643750 6909500 8636875 13287500 13819000 17273750 26575000 34547500 43184375 69095000 86368750 172737500 345475000