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1331002344 = 233743918047
BaseRepresentation
bin100111101010101…
…0111101111101000
310102202111220222010
41033111113233220
510211214033334
6340023555520
744661222210
oct11725275750
93382456863
101331002344
11623352841
123118bbba0
131829a1269
14c8ab1240
157bcb60e9
hex4f557be8

1331002344 has 64 divisors (see below), whose sum is σ = 3811737600. Its totient is φ = 379399104.

The previous prime is 1331002339. The next prime is 1331002367. The reversal of 1331002344 is 4432001331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1331002344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64729 + ... + 82775.

It is an arithmetic number, because the mean of its divisors is an integer number (59558400).

Almost surely, 21331002344 is an apocalyptic number.

1331002344 is a gapful number since it is divisible by the number (14) 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 1331002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905868800).

1331002344 is an abundant number, since it is smaller than the sum of its proper divisors (2480735256).

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

1331002344 is a wasteful number, since it uses less digits than its factorization.

1331002344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18502 (or 18498 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1331002344 is about 36482.9048185585. The cubic root of 1331002344 is about 1100.0006457296. Note that the first 3 decimals are identical.

Adding to 1331002344 its reverse (4432001331), we get a palindrome (5763003675).

The spelling of 1331002344 in words is "one billion, three hundred thirty-one million, two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 439 878 1317 1756 2634 3073 3512 5268 6146 9219 10536 12292 18047 18438 24584 36094 36876 54141 72188 73752 108282 126329 144376 216564 252658 378987 433128 505316 757974 1010632 1515948 3031896 7922633 15845266 23767899 31690532 47535798 55458431 63381064 95071596 110916862 166375293 190143192 221833724 332750586 443667448 665501172 1331002344