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1344552480 = 253351916381
BaseRepresentation
bin101000000100100…
…0011111000100000
310110201000100021000
41100021003320200
510223201134410
6341230232000
745214336035
oct12011037040
93421010230
101344552480
1162aa681a7
12316355600
131857369ab
14ca7db38c
157d090dc0
hex50243e20

1344552480 has 192 divisors, whose sum is σ = 4953916800. Its totient is φ = 339655680.

The previous prime is 1344552373. The next prime is 1344552481. The reversal of 1344552480 is 842554431.

It is a happy number.

1344552480 is a `hidden beast` number, since 13 + 4 + 45 + 524 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1344552481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73890 + ... + 90270.

It is an arithmetic number, because the mean of its divisors is an integer number (25801650).

Almost surely, 21344552480 is an apocalyptic number.

1344552480 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 1344552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476958400).

1344552480 is an abundant number, since it is smaller than the sum of its proper divisors (3609364320).

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

1344552480 is a wasteful number, since it uses less digits than its factorization.

1344552480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16424 (or 16410 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1344552480 is about 36668.1398491933. The cubic root of 1344552480 is about 1103.7208651574.

The spelling of 1344552480 in words is "one billion, three hundred forty-four million, five hundred fifty-two thousand, four hundred eighty".