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1230436818 = 238137213
BaseRepresentation
bin100100101010110…
…1111100111010010
310011202021200000000
41021111233213102
510004442434233
6322032310430
742330353232
oct11125574722
93152250000
101230436818
11581605436
122a40a2416
13167bc0230
14b95b3cc2
157304dd13
hex4956f9d2

1230436818 has 72 divisors (see below), whose sum is σ = 2981704908. Its totient is φ = 378543456.

The previous prime is 1230436811. The next prime is 1230436877. The reversal of 1230436818 is 8186340321.

It can be written as a sum of positive squares in 2 ways, for example, as 1230115329 + 321489 = 35073^2 + 567^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1230436811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166980 + ... + 174192.

Almost surely, 21230436818 is an apocalyptic number.

1230436818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230436818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490852454).

1230436818 is an abundant number, since it is smaller than the sum of its proper divisors (1751268090).

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

1230436818 is an frugal number, since it uses more digits than its factorization.

1230436818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1230436818 is about 35077.5828414673. The cubic root of 1230436818 is about 1071.5680906770.

The spelling of 1230436818 in words is "one billion, two hundred thirty million, four hundred thirty-six thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 2187 3159 4374 6318 6561 7213 9477 13122 14426 18954 21639 28431 43278 56862 64917 85293 93769 129834 170586 187538 194751 281307 389502 562614 584253 843921 1168506 1687842 1752759 2531763 3505518 5063526 5258277 7595289 10516554 15190578 15774831 22785867 31549662 45571734 47324493 68357601 94648986 136715202 205072803 410145606 615218409 1230436818