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1352422032 = 243134394937
BaseRepresentation
bin101000010011100…
…0101001010010000
310111020211011020220
41100213011022100
510232210001112
6342111033040
745341253243
oct12047051220
93436734226
101352422032
11634452765
12318b0b780
13187260930
14cb88925a
157dae798c
hex509c5290

1352422032 has 80 divisors (see below), whose sum is σ = 3771841920. Its totient is φ = 415097856.

The previous prime is 1352422009. The next prime is 1352422037. The reversal of 1352422032 is 2302242531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1352421993 and 1352422011.

It is not an unprimeable number, because it can be changed into a prime (1352422037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271468 + ... + 276404.

It is an arithmetic number, because the mean of its divisors is an integer number (47148024).

Almost surely, 21352422032 is an apocalyptic number.

1352422032 is a gapful number since it is divisible by the number (12) 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 1352422032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885920960).

1352422032 is an abundant number, since it is smaller than the sum of its proper divisors (2419419888).

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

1352422032 is a wasteful number, since it uses less digits than its factorization.

1352422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1352422032 is about 36775.2910525532. The cubic root of 1352422032 is about 1105.8700059877.

Adding to 1352422032 its reverse (2302242531), we get a palindrome (3654664563).

The spelling of 1352422032 in words is "one billion, three hundred fifty-two million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 439 624 878 1317 1756 2634 3512 4937 5268 5707 7024 9874 10536 11414 14811 17121 19748 21072 22828 29622 34242 39496 45656 59244 64181 68484 78992 91312 118488 128362 136968 192543 236976 256724 273936 385086 513448 770172 1026896 1540344 2167343 3080688 4334686 6502029 8669372 13004058 17338744 26008116 28175459 34677488 52016232 56350918 84526377 104032464 112701836 169052754 225403672 338105508 450807344 676211016 1352422032