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1230764346 = 232724140531
BaseRepresentation
bin100100101011011…
…1111100100111010
310011202220022021200
41021112333210322
510010033424341
6322043315030
742333216150
oct11126774472
93152808250
101230764346
11581809519
122a421ba76
13167ca6336
14b965b3d0
15730b5db6
hex495bf93a

1230764346 has 48 divisors (see below), whose sum is σ = 3060328128. Its totient is φ = 350179200.

The previous prime is 1230764341. The next prime is 1230764369. The reversal of 1230764346 is 6434670321.

It is a happy number.

1230764346 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 7 + 643 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1230764346.

It is not an unprimeable number, because it can be changed into a prime (1230764341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10101 + ... + 50631.

It is an arithmetic number, because the mean of its divisors is an integer number (63756836).

Almost surely, 21230764346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230764346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530164064).

1230764346 is an abundant number, since it is smaller than the sum of its proper divisors (1829563782).

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

1230764346 is a wasteful number, since it uses less digits than its factorization.

1230764346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40787 (or 40784 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1230764346 is about 35082.2511535392. The cubic root of 1230764346 is about 1071.6631619048.

The spelling of 1230764346 in words is "one billion, two hundred thirty million, seven hundred sixty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 241 482 723 1446 1687 2169 3374 4338 5061 10122 15183 30366 40531 81062 121593 243186 283717 364779 567434 729558 851151 1702302 2553453 5106906 9767971 19535942 29303913 58607826 68375797 87911739 136751594 175823478 205127391 410254782 615382173 1230764346