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1434108312 = 23327132113149
BaseRepresentation
bin101010101111010…
…1100000110011000
310200221112020202200
41111132230012120
510414112431222
6354145530200
750352501540
oct12536540630
93627466680
101434108312
1167657588a
12340343960
1319b161700
14d8670320
1585d80eac
hex557ac198

1434108312 has 288 divisors, whose sum is σ = 4881708000. Its totient is φ = 372363264.

The previous prime is 1434108311. The next prime is 1434108323. The reversal of 1434108312 is 2138014341.

1434108312 is a `hidden beast` number, since 1 + 4 + 341 + 0 + 8 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434108311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9624814 + ... + 9624962.

It is an arithmetic number, because the mean of its divisors is an integer number (16950375).

Almost surely, 21434108312 is an apocalyptic number.

1434108312 is a gapful number since it is divisible by the number (12) 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 1434108312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440854000).

1434108312 is an abundant number, since it is smaller than the sum of its proper divisors (3447599688).

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

1434108312 is a wasteful number, since it uses less digits than its factorization.

1434108312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1434108312 is about 37869.6225489508. The cubic root of 1434108312 is about 1127.7010487380.

It can be divided in two parts, 1434 and 108312, that added together give a triangular number (109746 = T468).

The spelling of 1434108312 in words is "one billion, four hundred thirty-four million, one hundred eight thousand, three hundred twelve".