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134350440 = 23357414783
BaseRepresentation
bin10000000001000…
…00011001101000
3100100210201011020
420000200121220
5233343203230
621155332440
73220650150
oct1000403150
9310721136
10134350440
1169923524
1238bb1120
1321aaca03
1413bb3760
15bbdc810
hex8020668

134350440 has 256 divisors, whose sum is σ = 487710720. Its totient is φ = 28968960.

The previous prime is 134350427. The next prime is 134350453. The reversal of 134350440 is 44053431.

It is an interprime number because it is at equal distance from previous prime (134350427) and next prime (134350453).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134350440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1618639 + ... + 1618721.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2134350440 is an apocalyptic number.

134350440 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 134350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

134350440 is an abundant number, since it is smaller than the sum of its proper divisors (353360280).

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

134350440 is a wasteful number, since it uses less digits than its factorization.

134350440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 134350440 is about 11590.9637217964. The cubic root of 134350440 is about 512.1686964454.

The spelling of 134350440 in words is "one hundred thirty-four million, three hundred fifty thousand, four hundred forty".