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1358234304 = 26371953189
BaseRepresentation
bin101000011110101…
…0000001011000000
310111122202110012020
41100331100023000
510240201444204
6342435401440
745441541530
oct12075201300
93448673166
101358234304
11637762599
1231aa53280
1318851734b
14cc55d4c0
157e394bd9
hex50f502c0

1358234304 has 112 divisors (see below), whose sum is σ = 4323283200. Its totient is φ = 367635456.

The previous prime is 1358234299. The next prime is 1358234309. The reversal of 1358234304 is 4034328531.

It is an interprime number because it is at equal distance from previous prime (1358234299) and next prime (1358234309).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1358234309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059 + ... + 52130.

Almost surely, 21358234304 is an apocalyptic number.

1358234304 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 1358234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161641600).

1358234304 is an abundant number, since it is smaller than the sum of its proper divisors (2965048896).

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

1358234304 is a wasteful number, since it uses less digits than its factorization.

1358234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53230 (or 53220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 1358234304 is about 36854.2304762967. The cubic root of 1358234304 is about 1107.4519656380.

The spelling of 1358234304 in words is "one billion, three hundred fifty-eight million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 53189 106378 159567 212756 319134 372323 425512 638268 744646 851024 1010591 1116969 1276536 1489292 1702048 2021182 2233938 2553072 2978584 3031773 3404096 4042364 4467876 5106144 5957168 6063546 7074137 8084728 8935752 10212288 11914336 12127092 14148274 16169456 17871504 21222411 23828672 24254184 28296548 32338912 35743008 42444822 48508368 56593096 64677824 71486016 84889644 97016736 113186192 169779288 194033472 226372384 339558576 452744768 679117152 1358234304