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1142340320 = 255113112087
BaseRepresentation
bin100010000010110…
…1011101011100000
32221121111220022202
41010011223223200
54314414342240
6305204152332
740210506152
oct10405535340
92847456282
101142340320
11536904210
1227a6986a8
13152886824
14aba00ad2
156a44b315
hex4416bae0

1142340320 has 96 divisors (see below), whose sum is σ = 2955004416. Its totient is φ = 413862400.

The previous prime is 1142340307. The next prime is 1142340337. The reversal of 1142340320 is 230432411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1142340292 and 1142340301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546317 + ... + 548403.

It is an arithmetic number, because the mean of its divisors is an integer number (30781296).

Almost surely, 21142340320 is an apocalyptic number.

1142340320 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 1142340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477502208).

1142340320 is an abundant number, since it is smaller than the sum of its proper divisors (1812664096).

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

1142340320 is a wasteful number, since it uses less digits than its factorization.

1142340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1142340320 is about 33798.5254116211. The cubic root of 1142340320 is about 1045.3582923173.

Adding to 1142340320 its reverse (230432411), we get a palindrome (1372772731).

The spelling of 1142340320 in words is "one billion, one hundred forty-two million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 311 352 440 622 880 1244 1555 1760 2087 2488 3110 3421 4174 4976 6220 6842 8348 9952 10435 12440 13684 16696 17105 20870 22957 24880 27368 33392 34210 41740 45914 49760 54736 66784 68420 83480 91828 109472 114785 136840 166960 183656 229570 273680 333920 367312 459140 547360 649057 734624 918280 1298114 1836560 2596228 3245285 3673120 5192456 6490570 7139627 10384912 12981140 14279254 20769824 25962280 28558508 35698135 51924560 57117016 71396270 103849120 114234032 142792540 228468064 285585080 571170160 1142340320