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3454442550 = 23252133671609
BaseRepresentation
bin1100110111100110…
…1001110000110110
322220202010212022200
43031321221300312
524033314130200
61330440405330
7151414164036
oct31571516066
98822125280
103454442550
111512a408a9
12804a76846
134308a8360
1424aadd8c6
1515340d800
hexcde69c36

3454442550 has 144 divisors (see below), whose sum is σ = 10028316480. Its totient is φ = 847480320.

The previous prime is 3454442513. The next prime is 3454442557. The reversal of 3454442550 is 552444543.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454442557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2146146 + ... + 2147754.

Almost surely, 23454442550 is an apocalyptic number.

3454442550 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 3454442550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014158240).

3454442550 is an abundant number, since it is smaller than the sum of its proper divisors (6573873930).

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

3454442550 is a wasteful number, since it uses less digits than its factorization.

3454442550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 3454442550 is about 58774.5059528364. The cubic root of 3454442550 is about 1511.6781118555.

The spelling of 3454442550 in words is "three billion, four hundred fifty-four million, four hundred forty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 367 390 450 585 650 734 975 1101 1170 1609 1835 1950 2202 2925 3218 3303 3670 4771 4827 5505 5850 6606 8045 9175 9542 9654 11010 14313 14481 16090 16515 18350 20917 23855 24135 27525 28626 28962 33030 40225 41834 42939 47710 48270 55050 62751 71565 72405 80450 82575 85878 104585 119275 120675 125502 143130 144810 165150 188253 209170 214695 238550 241350 313755 357825 362025 376506 429390 522925 590503 627510 715650 724050 941265 1045850 1073475 1181006 1568775 1771509 1882530 2146950 2952515 3137550 3543018 4706325 5314527 5905030 7676539 8857545 9412650 10629054 14762575 15353078 17715090 23029617 26572635 29525150 38382695 44287725 46059234 53145270 69088851 76765390 88575450 115148085 132863175 138177702 191913475 230296170 265726350 345444255 383826950 575740425 690888510 1151480850 1727221275 3454442550