Search a number
-
+
3444450000 = 2435522963
BaseRepresentation
bin1100110101001110…
…0010001011010000
322220001100012010020
43031103202023100
524023234400000
61325442303440
7151233225165
oct31523421320
98801305106
103444450000
1115083362a2
12801657b80
1342b7b9cc4
1424965c06c
151525d7ba0
hexcd4e22d0

3444450000 has 120 divisors (see below), whose sum is σ = 11122475616. Its totient is φ = 918480000.

The previous prime is 3444449999. The next prime is 3444450001. The reversal of 3444450000 is 544443.

It is an interprime number because it is at equal distance from previous prime (3444449999) and next prime (3444450001).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444450001) 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, 138519 + ... + 161481.

Almost surely, 23444450000 is an apocalyptic number.

3444450000 is a gapful number since it is divisible by the number (30) 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 3444450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561237808).

3444450000 is an abundant number, since it is smaller than the sum of its proper divisors (7678025616).

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

3444450000 is an equidigital number, since it uses as much as digits as its factorization.

3444450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22999 (or 22973 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3444450000 is about 58689.4368689971. The cubic root of 3444450000 is about 1510.2191106394.

Adding to 3444450000 its reverse (544443), we get a palindrome (3444994443).

The spelling of 3444450000 in words is "three billion, four hundred forty-four million, four hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 22963 25000 30000 37500 45926 50000 68889 75000 91852 114815 137778 150000 183704 229630 275556 344445 367408 459260 551112 574075 688890 918520 1102224 1148150 1377780 1722225 1837040 2296300 2755560 2870375 3444450 4592600 5511120 5740750 6888900 8611125 9185200 11481500 13777800 14351875 17222250 22963000 27555600 28703750 34444500 43055625 45926000 57407500 68889000 71759375 86111250 114815000 137778000 143518750 172222500 215278125 229630000 287037500 344445000 430556250 574075000 688890000 861112500 1148150000 1722225000 3444450000