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1034244100 = 2252191793041
BaseRepresentation
bin111101101001010…
…101000000000100
32200002010001012001
4331221111000010
54104231302400
6250343235044
734425633631
oct7551250004
92602101161
101034244100
1149089299a
1224a448a84
13136369b76
149b503188
1560be7a6a
hex3da55004

1034244100 has 72 divisors (see below), whose sum is σ = 2376410400. Its totient is φ = 389606400.

The previous prime is 1034244089. The next prime is 1034244109. The reversal of 1034244100 is 14424301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1034244109) 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, 338580 + ... + 341620.

It is an arithmetic number, because the mean of its divisors is an integer number (33005700).

Almost surely, 21034244100 is an apocalyptic number.

1034244100 is a gapful number since it is divisible by the number (10) 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 1034244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188205200).

1034244100 is an abundant number, since it is smaller than the sum of its proper divisors (1342166300).

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

1034244100 is a wasteful number, since it uses less digits than its factorization.

1034244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1034244100 is about 32159.6657320937. The cubic root of 1034244100 is about 1011.2868282229.

Adding to 1034244100 its reverse (14424301), we get a palindrome (1048668401).

The spelling of 1034244100 in words is "one billion, thirty-four million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 179 190 358 380 475 716 895 950 1790 1900 3041 3401 3580 4475 6082 6802 8950 12164 13604 15205 17005 17900 30410 34010 57779 60820 68020 76025 85025 115558 152050 170050 231116 288895 304100 340100 544339 577790 1088678 1155580 1444475 2177356 2721695 2888950 5443390 5777900 10342441 10886780 13608475 20684882 27216950 41369764 51712205 54433900 103424410 206848820 258561025 517122050 1034244100