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1341669296 = 241132512
BaseRepresentation
bin100111111111000…
…0011111110110000
310110111120212021102
41033332003332300
510221431404141
6341044343532
745151000202
oct11776037660
93414525242
101341669296
11629379000
123153a4ba8
13184c67576
14ca28a772
157cbc199b
hex4ff83fb0

1341669296 has 60 divisors (see below), whose sum is σ = 2870674152. Its totient is φ = 607420000.

The previous prime is 1341669293. The next prime is 1341669317. The reversal of 1341669296 is 6929661431.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 1341669296.

It is not an unprimeable number, because it can be changed into a prime (1341669293) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5345171 + ... + 5345421.

Almost surely, 21341669296 is an apocalyptic number.

1341669296 is a gapful number since it is divisible by the number (16) 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 1341669296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435337076).

1341669296 is an abundant number, since it is smaller than the sum of its proper divisors (1529004856).

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

1341669296 is an frugal number, since it uses more digits than its factorization.

1341669296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 264 counting only the distinct ones).

The product of its digits is 419904, while the sum is 47.

The square root of 1341669296 is about 36628.8041846850. The cubic root of 1341669296 is about 1102.9313812462.

The spelling of 1341669296 in words is "one billion, three hundred forty-one million, six hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 251 484 502 968 1004 1331 1936 2008 2662 2761 4016 5324 5522 10648 11044 21296 22088 30371 44176 60742 63001 121484 126002 242968 252004 334081 485936 504008 668162 693011 1008016 1336324 1386022 2672648 2772044 5345296 5544088 7623121 11088176 15246242 30492484 60984968 83854331 121969936 167708662 335417324 670834648 1341669296