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8144340 = 2235149911
BaseRepresentation
bin11111000100010111010100
3120022202221020
4133010113110
54041104330
6450321140
7126140301
oct37042724
916282836
108144340
114662a66
1228891b0
1318c2049
1411200a8
15aad210
hex7c45d4

8144340 has 48 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 2154880.

The previous prime is 8144327. The next prime is 8144341. The reversal of 8144340 is 434418.

8144340 = T579 + T580 + ... + T623.

It is a self number, because there is not a number n which added to its sum of digits gives 8144340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8144341) 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, 8485 + ... + 9395.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 28144340 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 8144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

8144340 is an abundant number, since it is smaller than the sum of its proper divisors (14838060).

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

8144340 is a wasteful number, since it uses less digits than its factorization.

8144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8144340 is about 2853.8290067907. The cubic root of 8144340 is about 201.1956709436.

Adding to 8144340 its reverse (434418), we get a palindrome (8578758).

The spelling of 8144340 in words is "eight million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 911 1490 1788 1822 2235 2733 2980 3644 4470 4555 5466 8940 9110 10932 13665 18220 27330 54660 135739 271478 407217 542956 678695 814434 1357390 1628868 2036085 2714780 4072170 8144340