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1034054224 = 247711091193
BaseRepresentation
bin111101101000100…
…110101001010000
32200001202101201121
4331220212221100
54104204213344
6250335212024
734424213230
oct7550465120
92601671647
101034054224
11490773275
1224a377014
13136301608
149b493cc0
1560bab684
hex3da26a50

1034054224 has 80 divisors (see below), whose sum is σ = 2345207040. Its totient is φ = 432552960.

The previous prime is 1034054201. The next prime is 1034054227. The reversal of 1034054224 is 4224504301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034054227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866172 + ... + 867364.

It is an arithmetic number, because the mean of its divisors is an integer number (29315088).

Almost surely, 21034054224 is an apocalyptic number.

1034054224 is a gapful number since it is divisible by the number (14) 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 1034054224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172603520).

1034054224 is an abundant number, since it is smaller than the sum of its proper divisors (1311152816).

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

1034054224 is a wasteful number, since it uses less digits than its factorization.

1034054224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1034054224 is about 32156.7135136662. The cubic root of 1034054224 is about 1011.2249373373.

Adding to 1034054224 its reverse (4224504301), we get a palindrome (5258558525).

The spelling of 1034054224 in words is "one billion, thirty-four million, fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 109 112 142 218 284 436 497 568 763 872 994 1136 1193 1526 1744 1988 2386 3052 3976 4772 6104 7739 7952 8351 9544 12208 15478 16702 19088 30956 33404 54173 61912 66808 84703 108346 123824 130037 133616 169406 216692 260074 338812 433384 520148 592921 677624 866768 910259 1040296 1185842 1355248 1820518 2080592 2371684 3641036 4743368 7282072 9232627 9486736 14564144 18465254 36930508 64628389 73861016 129256778 147722032 258513556 517027112 1034054224