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1034431344 = 24334495333
BaseRepresentation
bin111101101010000…
…010101101110000
32200002110120001000
4331222002231300
54104303300334
6250351242000
734430343552
oct7552025560
92602416030
101034431344
11490a00641
1224a519300
1313640416b
149b5514d2
1560c33299
hex3da82b70

1034431344 has 80 divisors (see below), whose sum is σ = 2976372000. Its totient is φ = 343977984.

The previous prime is 1034431339. The next prime is 1034431357. The reversal of 1034431344 is 4431344301.

1034431344 is a `hidden beast` number, since 1 + 0 + 344 + 313 + 4 + 4 = 666.

1034431344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 191302 + ... + 196634.

It is an arithmetic number, because the mean of its divisors is an integer number (37204650).

Almost surely, 21034431344 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 1034431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488186000).

1034431344 is an abundant number, since it is smaller than the sum of its proper divisors (1941940656).

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

1034431344 is a wasteful number, since it uses less digits than its factorization.

1034431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1034431344 is about 32162.5767624424. The cubic root of 1034431344 is about 1011.3478537792.

Adding to 1034431344 its reverse (4431344301), we get a palindrome (5465775645).

The spelling of 1034431344 in words is "one billion, thirty-four million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 449 898 1347 1796 2694 3592 4041 5333 5388 7184 8082 10666 10776 12123 15999 16164 21332 21552 24246 31998 32328 42664 47997 48492 63996 64656 85328 95994 96984 127992 143991 191988 193968 255984 287982 383976 575964 767952 1151928 2303856 2394517 4789034 7183551 9578068 14367102 19156136 21550653 28734204 38312272 43101306 57468408 64651959 86202612 114936816 129303918 172405224 258607836 344810448 517215672 1034431344