Search a number
-
+
345107400 = 233521152289
BaseRepresentation
bin10100100100011…
…110101111001000
3220001101021100120
4110210132233020
51201321414100
654124503240
711360236011
oct2444365710
9801337316
10345107400
11167893330
12976aab20
1356662281
1433b96008
152046e0a0
hex1491ebc8

345107400 has 96 divisors (see below), whose sum is σ = 1167112800. Its totient is φ = 83660800.

The previous prime is 345107377. The next prime is 345107437. The reversal of 345107400 is 4701543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19545 + ... + 32744.

It is an arithmetic number, because the mean of its divisors is an integer number (12157425).

Almost surely, 2345107400 is an apocalyptic number.

345107400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345107400 is an abundant number, since it is smaller than the sum of its proper divisors (822005400).

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

345107400 is a wasteful number, since it uses less digits than its factorization.

345107400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52319 (or 52310 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 345107400 is about 18577.0665068519. The cubic root of 345107400 is about 701.4306793879.

Adding to 345107400 its reverse (4701543), we get a palindrome (349808943).

The spelling of 345107400 in words is "three hundred forty-five million, one hundred seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 52289 104578 156867 209156 261445 313734 418312 522890 575179 627468 784335 1045780 1150358 1254936 1307225 1568670 1725537 2091560 2300716 2614450 2875895 3137340 3451074 3921675 4601432 5228900 5751790 6274680 6902148 7843350 8627685 10457800 11503580 13804296 14379475 15686700 17255370 23007160 28758950 31373400 34510740 43138425 57517900 69021480 86276850 115035800 172553700 345107400