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8434040 = 2351779157
BaseRepresentation
bin100000001011…
…000101111000
3120212111022212
4200023011320
54124342130
6500434252
7131455016
oct40130570
916774285
108434040
11484068a
1229a8988
131993b74
1411978b6
15b18e95
hex80b178

8434040 has 64 divisors (see below), whose sum is σ = 20476800. Its totient is φ = 3115008.

The previous prime is 8434037. The next prime is 8434073. The reversal of 8434040 is 404348.

It is a super-2 number, since 2×84340402 = 142266061443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8433997 and 8434015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53642 + ... + 53798.

It is an arithmetic number, because the mean of its divisors is an integer number (319950).

Almost surely, 28434040 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 8434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238400).

8434040 is an abundant number, since it is smaller than the sum of its proper divisors (12042760).

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

8434040 is a wasteful number, since it uses less digits than its factorization.

8434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 8434040 is about 2904.1418698128. The cubic root of 8434040 is about 203.5534896327.

Adding to 8434040 its reverse (404348), we get a palindrome (8838388).

The spelling of 8434040 in words is "eight million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 157 158 170 314 316 340 395 628 632 680 785 790 1256 1343 1570 1580 2669 2686 3140 3160 5338 5372 6280 6715 10676 10744 12403 13345 13430 21352 24806 26690 26860 49612 53380 53720 62015 99224 106760 124030 210851 248060 421702 496120 843404 1054255 1686808 2108510 4217020 8434040