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3445995400 = 235238944293
BaseRepresentation
bin1100110101100101…
…1011011110001000
322220011020201000021
43031121123132020
524024133323100
61325535350224
7151252322551
oct31531333610
98804221007
103445995400
1115091a1391
12802082374
1342bc0b543
14249941328
151527e0a1a
hexcd65b788

3445995400 has 48 divisors (see below), whose sum is σ = 8032716900. Its totient is φ = 1374823680.

The previous prime is 3445995373. The next prime is 3445995461. The reversal of 3445995400 is 45995443.

It can be written as a sum of positive squares in 6 ways, for example, as 1483328196 + 1962667204 = 38514^2 + 44302^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55654 + ... + 99946.

Almost surely, 23445995400 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 3445995400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016358450).

3445995400 is an abundant number, since it is smaller than the sum of its proper divisors (4586721500).

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

3445995400 is a wasteful number, since it uses less digits than its factorization.

3445995400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44698 (or 44689 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 3445995400 is about 58702.6013052233. The cubic root of 3445995400 is about 1510.4449370806. Note that the first 3 decimals are identical.

Adding to 3445995400 its sum of digits (43), we get a palindrome (3445995443).

The spelling of 3445995400 in words is "three billion, four hundred forty-five million, nine hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 389 778 1556 1945 3112 3890 7780 9725 15560 19450 38900 44293 77800 88586 177172 221465 354344 442930 885860 1107325 1771720 2214650 4429300 8858600 17229977 34459954 68919908 86149885 137839816 172299770 344599540 430749425 689199080 861498850 1722997700 3445995400