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3452240000 = 2754113923
BaseRepresentation
bin1100110111000101…
…0000000010000000
322220120222221222202
43031301100002000
524032233140000
61330321252332
7151356361436
oct31561200200
98816887882
103452240000
111511777010
128041940a8
134302b6981
1424a6c8d56
15153125dd5
hexcdc50080

3452240000 has 160 divisors (see below), whose sum is σ = 9377810640. Its totient is φ = 1255040000.

The previous prime is 3452239939. The next prime is 3452240009. The reversal of 3452240000 is 422543.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×34522400002 = 23835922035200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3452240009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 878039 + ... + 881961.

Almost surely, 23452240000 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 3452240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688905320).

3452240000 is an abundant number, since it is smaller than the sum of its proper divisors (5925570640).

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

3452240000 is an equidigital number, since it uses as much as digits as its factorization.

3452240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3452240000 is about 58755.7656745276. The cubic root of 3452240000 is about 1511.3567619352.

Adding to 3452240000 its reverse (422543), we get a palindrome (3452662543).

The spelling of 3452240000 in words is "three billion, four hundred fifty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 3923 4000 4400 5000 5500 6875 7040 7846 8000 8800 10000 11000 13750 15692 16000 17600 19615 20000 22000 27500 31384 35200 39230 40000 43153 44000 55000 62768 78460 80000 86306 88000 98075 110000 125536 156920 172612 176000 196150 215765 220000 251072 313840 345224 392300 431530 440000 490375 502144 627680 690448 784600 863060 880000 980750 1078825 1255360 1380896 1569200 1726120 1961500 2157650 2451875 2510720 2761792 3138400 3452240 3923000 4315300 4903750 5394125 5523584 6276800 6904480 7846000 8630600 9807500 10788250 12553600 13808960 15692000 17261200 19615000 21576500 26970625 27617920 31384000 34522400 39230000 43153000 53941250 62768000 69044800 78460000 86306000 107882500 138089600 156920000 172612000 215765000 313840000 345224000 431530000 690448000 863060000 1726120000 3452240000