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1394435840 = 2857198191
BaseRepresentation
bin101001100011101…
…0110011100000000
310121011212200100212
41103013112130000
510323433421330
6350211333252
746361336420
oct12307263400
93534780325
101394435840
11656139316
1232abb1228
13192b80c85
14d32a4480
1582646295
hex531d6700

1394435840 has 144 divisors (see below), whose sum is σ = 4018667520. Its totient is φ = 452874240.

The previous prime is 1394435839. The next prime is 1394435843. The reversal of 1394435840 is 485344931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1394435843) by changing a digit.

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, 166145 + ... + 174335.

Almost surely, 21394435840 is an apocalyptic number.

1394435840 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 1394435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009333760).

1394435840 is an abundant number, since it is smaller than the sum of its proper divisors (2624231680).

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

1394435840 is an equidigital number, since it uses as much as digits as its factorization.

1394435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 1394435840 is about 37342.1456266241. The cubic root of 1394435840 is about 1117.2049352188.

Subtracting from 1394435840 its reverse (485344931), we obtain a palindrome (909090909).

The spelling of 1394435840 in words is "one billion, three hundred ninety-four million, four hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2128 2240 2432 2660 3040 4256 4480 4864 5320 6080 8191 8512 8960 10640 12160 16382 17024 21280 24320 32764 34048 40955 42560 57337 65528 81910 85120 114674 131056 155629 163820 170240 229348 262112 286685 311258 327640 458696 524224 573370 622516 655280 778145 917392 1048448 1089403 1146740 1245032 1310560 1556290 1834784 2096896 2178806 2293480 2490064 2621120 3112580 3669568 4357612 4586960 4980128 5242240 5447015 6225160 7339136 8715224 9173920 9960256 10484480 10894030 12450320 14678272 17430448 18347840 19920512 21788060 24900640 34860896 36695680 39841024 43576120 49801280 69721792 73391360 87152240 99602560 139443584 174304480 199205120 278887168 348608960 697217920 1394435840