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1314401088 = 263721113977
BaseRepresentation
bin100111001011000…
…0010101101000000
310101121021111022210
41032112002231000
510142441313323
6334232102120
744400140100
oct11626025500
93347244283
101314401088
11614a43aa0
12308234940
1317c40ab30
14c67cd200
157a5d7293
hex4e582b40

1314401088 has 336 divisors, whose sum is σ = 4757586624. Its totient is φ = 314818560.

The previous prime is 1314401059. The next prime is 1314401089. The reversal of 1314401088 is 8801044131.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314401089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344856 + ... + 1345832.

It is an arithmetic number, because the mean of its divisors is an integer number (14159484).

Almost surely, 21314401088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378793312).

1314401088 is an abundant number, since it is smaller than the sum of its proper divisors (3443185536).

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

1314401088 is a wasteful number, since it uses less digits than its factorization.

1314401088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1314401088 is about 36254.6698785136. The cubic root of 1314401088 is about 1095.4081554266.

The spelling of 1314401088 in words is "one billion, three hundred fourteen million, four hundred one thousand, eighty-eight".