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1352433240 = 233353074079
BaseRepresentation
bin101000010011100…
…0111111001011000
310111020211201122000
41100213013321120
510232210330430
6342111201000
745341331024
oct12047077130
93436751560
101352433240
11634460124
12318b16160
13187265a72
14cb88d384
157daeae60
hex509c7e58

1352433240 has 128 divisors (see below), whose sum is σ = 4523904000. Its totient is φ = 359385984.

The previous prime is 1352433239. The next prime is 1352433289. The reversal of 1352433240 is 423342531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329521 + ... + 333599.

It is an arithmetic number, because the mean of its divisors is an integer number (35343000).

Almost surely, 21352433240 is an apocalyptic number.

1352433240 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 1352433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952000).

1352433240 is an abundant number, since it is smaller than the sum of its proper divisors (3171470760).

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

1352433240 is a wasteful number, since it uses less digits than its factorization.

1352433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1352433240 is about 36775.4434371633. The cubic root of 1352433240 is about 1105.8730608913.

Adding to 1352433240 its reverse (423342531), we get a palindrome (1775775771).

It can be divided in two parts, 13524 and 33240, that added together give a palindrome (46764).

The spelling of 1352433240 in words is "one billion, three hundred fifty-two million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 307 360 540 614 921 1080 1228 1535 1842 2456 2763 3070 3684 4079 4605 5526 6140 7368 8158 8289 9210 11052 12237 12280 13815 16316 16578 18420 20395 22104 24474 27630 32632 33156 36711 36840 40790 41445 48948 55260 61185 66312 73422 81580 82890 97896 110133 110520 122370 146844 163160 165780 183555 220266 244740 293688 331560 367110 440532 489480 550665 734220 881064 1101330 1252253 1468440 2202660 2504506 3756759 4405320 5009012 6261265 7513518 10018024 11270277 12522530 15027036 18783795 22540554 25045060 30054072 33810831 37567590 45081108 50090120 56351385 67621662 75135180 90162216 112702770 135243324 150270360 169054155 225405540 270486648 338108310 450811080 676216620 1352433240