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34140640 = 255377379
BaseRepresentation
bin1000001000111…
…1000111100000
32101020112011011
42002033013200
532220000030
63215430304
7563122252
oct202170740
971215134
1034140640
11182a9406
12b525394
1370c4881
144769cd2
152ee5b2a
hex208f1e0

34140640 has 96 divisors (see below), whose sum is σ = 85034880. Its totient is φ = 12939264.

The previous prime is 34140637. The next prime is 34140643. The reversal of 34140640 is 4604143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34140637) and next prime (34140643).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34140643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432121 + ... + 432199.

It is an arithmetic number, because the mean of its divisors is an integer number (885780).

Almost surely, 234140640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42517440).

34140640 is an abundant number, since it is smaller than the sum of its proper divisors (50894240).

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

34140640 is a wasteful number, since it uses less digits than its factorization.

34140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34140640 is about 5842.9992298476. Note that the first 3 decimals coincide. The cubic root of 34140640 is about 324.4072509368.

Adding to 34140640 its reverse (4604143), we get a palindrome (38744783).

The spelling of 34140640 in words is "thirty-four million, one hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 73 74 79 80 146 148 158 160 185 292 296 316 365 370 395 584 592 632 730 740 790 1168 1184 1264 1460 1480 1580 2336 2528 2701 2920 2923 2960 3160 5402 5767 5840 5846 5920 6320 10804 11534 11680 11692 12640 13505 14615 21608 23068 23384 27010 28835 29230 43216 46136 46768 54020 57670 58460 86432 92272 93536 108040 115340 116920 184544 213379 216080 230680 233840 426758 432160 461360 467680 853516 922720 1066895 1707032 2133790 3414064 4267580 6828128 8535160 17070320 34140640