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145661346 = 232231931823
BaseRepresentation
bin10001010111010…
…01110110100010
3101011002100210200
420223221312202
5244242130341
622242010030
73416046435
oct1053516642
9334070720
10145661346
1175249586
1240946916
132424015c
14154b981c
15cbc3db6
hex8ae9da2

145661346 has 48 divisors (see below), whose sum is σ = 331209216. Its totient is φ = 46176768.

The previous prime is 145661333. The next prime is 145661363. The reversal of 145661346 is 643166541.

It is a happy number.

145661346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145661346.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78991 + ... + 80813.

It is an arithmetic number, because the mean of its divisors is an integer number (6900192).

Almost surely, 2145661346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145661346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165604608).

145661346 is an abundant number, since it is smaller than the sum of its proper divisors (185547870).

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

145661346 is a wasteful number, since it uses less digits than its factorization.

145661346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2044 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 145661346 is about 12069.0242356207. The cubic root of 145661346 is about 526.1562976758.

The spelling of 145661346 in words is "one hundred forty-five million, six hundred sixty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 193 207 386 414 579 1158 1737 1823 3474 3646 4439 5469 8878 10938 13317 16407 26634 32814 39951 41929 79902 83858 125787 251574 351839 377361 703678 754722 1055517 2111034 3166551 6333102 8092297 16184594 24276891 48553782 72830673 145661346