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1014343104 = 26359151593
BaseRepresentation
bin111100011101011…
…010010111000000
32121200122222011010
4330131122113000
54034132434404
6244352520520
734064526345
oct7435322700
92550588133
101014343104
1148062aa95
12243850140
131321bc828
1498a027cc
155e0b6189
hex3c75a5c0

1014343104 has 112 divisors (see below), whose sum is σ = 2751978240. Its totient is φ = 329625600.

The previous prime is 1014343061. The next prime is 1014343117. The reversal of 1014343104 is 4013434101.

1014343104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1710232 + ... + 1710824.

Almost surely, 21014343104 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 1014343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375989120).

1014343104 is an abundant number, since it is smaller than the sum of its proper divisors (1737635136).

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

1014343104 is a wasteful number, since it uses less digits than its factorization.

1014343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1014343104 is about 31848.7535705873. The cubic root of 1014343104 is about 1004.7583567944.

Adding to 1014343104 its reverse (4013434101), we get a palindrome (5027777205).

The spelling of 1014343104 in words is "one billion, fourteen million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 151 177 192 236 302 354 453 472 593 604 708 906 944 1186 1208 1416 1779 1812 1888 2372 2416 2832 3558 3624 3776 4744 4832 5664 7116 7248 8909 9488 9664 11328 14232 14496 17818 18976 26727 28464 28992 34987 35636 37952 53454 56928 69974 71272 89543 104961 106908 113856 139948 142544 179086 209922 213816 268629 279896 285088 358172 419844 427632 537258 559792 570176 716344 839688 855264 1074516 1119584 1432688 1679376 1710528 2149032 2239168 2865376 3358752 4298064 5283037 5730752 6717504 8596128 10566074 15849111 17192256 21132148 31698222 42264296 63396444 84528592 126792888 169057184 253585776 338114368 507171552 1014343104