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1034444224 = 261137151263
BaseRepresentation
bin111101101010000…
…101110111000000
32200002111012201001
4331222011313000
54104304203344
6250351421344
734430426242
oct7552056700
92602435631
101034444224
11490a0a290
1224a524854
13136409c98
149b556092
1560c36ed4
hex3da85dc0

1034444224 has 112 divisors (see below), whose sum is σ = 2323892736. Its totient is φ = 452736000.

The previous prime is 1034444219. The next prime is 1034444293. The reversal of 1034444224 is 4224444301.

1034444224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1034444192 and 1034444201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3933117 + ... + 3933379.

Almost surely, 21034444224 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 1034444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161946368).

1034444224 is an abundant number, since it is smaller than the sum of its proper divisors (1289448512).

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

1034444224 is a wasteful number, since it uses less digits than its factorization.

1034444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 1034444224 is about 32162.7769945320. The cubic root of 1034444224 is about 1011.3520512888.

Adding to 1034444224 its reverse (4224444301), we get a palindrome (5258888525).

The spelling of 1034444224 in words is "one billion, thirty-four million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 148 151 176 263 296 302 352 407 526 592 604 704 814 1052 1184 1208 1628 1661 2104 2368 2416 2893 3256 3322 4208 4832 5587 5786 6512 6644 8416 9664 9731 11174 11572 13024 13288 16832 19462 22348 23144 26048 26576 38924 39713 44696 46288 53152 61457 77848 79426 89392 92576 106304 107041 122914 155696 158852 178784 185152 214082 245828 311392 317704 357568 428164 436843 491656 622784 635408 856328 873686 983312 1270816 1469381 1712656 1747372 1966624 2541632 2938762 3425312 3494744 3933248 5877524 6850624 6989488 11755048 13978976 16163191 23510096 27957952 32326382 47020192 64652764 94040384 129305528 258611056 517222112 1034444224