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1434640 = 24579227
BaseRepresentation
bin101011110010000010000
32200212221211
411132100100
5331402030
650425504
715123424
oct5362020
92625854
101434640
1189a959
12592294
133b2ccc
14294b84
151d512a
hex15e410

1434640 has 40 divisors (see below), whose sum is σ = 3392640. Its totient is φ = 564096.

The previous prime is 1434637. The next prime is 1434661. The reversal of 1434640 is 464341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6207 + ... + 6433.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

21434640 is an apocalyptic number.

1434640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696320).

1434640 is an abundant number, since it is smaller than the sum of its proper divisors (1958000).

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

1434640 is a wasteful number, since it uses less digits than its factorization.

1434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

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

The square root of 1434640 is about 1197.7645845491. The cubic root of 1434640 is about 112.7840394567.

Adding to 1434640 its reverse (464341), we get a palindrome (1898981).

Subtracting from 1434640 its reverse (464341), we obtain a cube (970299 = 993).

The spelling of 1434640 in words is "one million, four hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 227 316 395 454 632 790 908 1135 1264 1580 1816 2270 3160 3632 4540 6320 9080 17933 18160 35866 71732 89665 143464 179330 286928 358660 717320 1434640