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1332022340 = 22511101151397
BaseRepresentation
bin100111101100101…
…0000110001000100
310102211102202010202
41033121100301010
510211444203330
6340101510032
745003001025
oct11731206104
93384382122
101332022340
1162398a110
12312112318
13182c6a5cc
14c8c98c4c
157be18445
hex4f650c44

1332022340 has 96 divisors (see below), whose sum is σ = 3109978368. Its totient is φ = 475200000.

The previous prime is 1332022339. The next prime is 1332022343. The reversal of 1332022340 is 432202331.

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

It is not an unprimeable number, because it can be changed into a prime (1332022343) 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 31 ways as a sum of consecutive naturals, for example, 3355022 + ... + 3355418.

It is an arithmetic number, because the mean of its divisors is an integer number (32395608).

Almost surely, 21332022340 is an apocalyptic number.

1332022340 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 1332022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554989184).

1332022340 is an abundant number, since it is smaller than the sum of its proper divisors (1777956028).

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

1332022340 is a wasteful number, since it uses less digits than its factorization.

1332022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1332022340 is about 36496.8812366208. The cubic root of 1332022340 is about 1100.2815642862.

Adding to 1332022340 its reverse (432202331), we get a palindrome (1764224671).

Subtracting from 1332022340 its reverse (432202331), we obtain a square (899820009 = 299972).

The spelling of 1332022340 in words is "one billion, three hundred thirty-two million, twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 151 202 220 302 397 404 505 604 755 794 1010 1111 1510 1588 1661 1985 2020 2222 3020 3322 3970 4367 4444 5555 6644 7940 8305 8734 11110 15251 16610 17468 21835 22220 30502 33220 40097 43670 59947 61004 76255 80194 87340 119894 152510 160388 167761 200485 239788 299735 305020 335522 400970 441067 599470 659417 671044 801940 838805 882134 1198940 1318834 1677610 1764268 2205335 2637668 3297085 3355220 4410670 6054647 6594170 8821340 12109294 13188340 24218588 30273235 60546470 66601117 121092940 133202234 266404468 333005585 666011170 1332022340