[go: up one dir, main page]

Search a number
-
+
34293750 = 23553159
BaseRepresentation
bin1000001011010…
…0011111110110
32101112022011220
42002310133312
532234400000
63223011210
7564330531
oct202643766
971468156
1034293750
11183a3447
12b599b06
13714947a
1447a9a18
1530261a0
hex20b47f6

34293750 has 96 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 8700000.

The previous prime is 34293739. The next prime is 34293751. The reversal of 34293750 is 5739243.

It is a happy number.

It is a super-2 number, since 2×342937502 = 2352122578125000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34293751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581221 + ... + 581279.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 234293750 is an apocalyptic number.

34293750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34293750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

34293750 is an abundant number, since it is smaller than the sum of its proper divisors (55700490).

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

34293750 is an equidigital number, since it uses as much as digits as its factorization.

34293750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 34293750 is about 5856.0865772289. The cubic root of 34293750 is about 324.8914825077.

The spelling of 34293750 in words is "thirty-four million, two hundred ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 59 62 75 93 118 125 150 155 177 186 250 295 310 354 375 465 590 625 750 775 885 930 1250 1475 1550 1770 1829 1875 2325 2950 3125 3658 3750 3875 4425 4650 5487 6250 7375 7750 8850 9145 9375 10974 11625 14750 18290 18750 19375 22125 23250 27435 36875 38750 44250 45725 54870 58125 73750 91450 96875 110625 116250 137175 184375 193750 221250 228625 274350 290625 368750 457250 553125 581250 685875 1106250 1143125 1371750 2286250 3429375 5715625 6858750 11431250 17146875 34293750