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40430346 = 23114167223
BaseRepresentation
bin1001101000111…
…0101100001010
32211002002000020
42122032230022
540322232341
64002321310
71000436505
oct232165412
984062006
1040430346
1120904a10
1211659236
1384b76a8
14552613c
153839566
hex268eb0a

40430346 has 64 divisors (see below), whose sum is σ = 92123136. Its totient is φ = 11721600.

The previous prime is 40430339. The next prime is 40430353. The reversal of 40430346 is 64303404.

It is an interprime number because it is at equal distance from previous prime (40430339) and next prime (40430353).

It is a super-2 number, since 2×404303462 = 3269225755359432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181191 + ... + 181413.

It is an arithmetic number, because the mean of its divisors is an integer number (1439424).

Almost surely, 240430346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40430346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061568).

40430346 is an abundant number, since it is smaller than the sum of its proper divisors (51692790).

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

40430346 is a wasteful number, since it uses less digits than its factorization.

40430346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 40430346 is about 6358.4861405841. The cubic root of 40430346 is about 343.2172859024.

The spelling of 40430346 in words is "forty million, four hundred thirty thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 33 41 66 67 82 123 134 201 223 246 402 446 451 669 737 902 1338 1353 1474 2211 2453 2706 2747 4422 4906 5494 7359 8241 9143 14718 14941 16482 18286 27429 29882 30217 44823 54858 60434 89646 90651 100573 164351 181302 201146 301719 328702 493053 603438 612581 986106 1225162 1837743 3675486 6738391 13476782 20215173 40430346