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1014134304 = 253173227269
BaseRepresentation
bin111100011100100…
…111011000100000
32121200021100201210
4330130213120200
54034104244204
6244344230120
734062666531
oct7434473040
92550240653
101014134304
114804a8127
1224376b340
13132148791
149898a688
155e074389
hex3c727620

1014134304 has 96 divisors (see below), whose sum is σ = 2699282880. Its totient is φ = 333366272.

The previous prime is 1014134287. The next prime is 1014134309. The reversal of 1014134304 is 4034314101.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1014134309) 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, 3769882 + ... + 3770150.

It is an arithmetic number, because the mean of its divisors is an integer number (28117530).

Almost surely, 21014134304 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 1014134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349641440).

1014134304 is an abundant number, since it is smaller than the sum of its proper divisors (1685148576).

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

1014134304 is a wasteful number, since it uses less digits than its factorization.

1014134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

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

The square root of 1014134304 is about 31845.4754086040. The cubic root of 1014134304 is about 1004.6894097288.

Adding to 1014134304 its reverse (4034314101), we get a palindrome (5048448405).

The spelling of 1014134304 in words is "one billion, fourteen million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 227 269 346 454 519 538 681 692 807 908 1038 1076 1362 1384 1614 1816 2076 2152 2724 2768 3228 3632 4152 4304 5448 5536 6456 7264 8304 8608 10896 12912 16608 21792 25824 39271 46537 61063 78542 93074 117813 122126 139611 157084 183189 186148 235626 244252 279222 314168 366378 372296 471252 488504 558444 628336 732756 744592 942504 977008 1116888 1256672 1465512 1489184 1885008 1954016 2233776 2931024 3770016 4467552 5862048 10563899 21127798 31691697 42255596 63383394 84511192 126766788 169022384 253533576 338044768 507067152 1014134304