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1434300480 = 263351091523
BaseRepresentation
bin101010101111101…
…1011000001000000
310200221220000101000
41111133123001000
510414140103410
6354154012000
750354232024
oct12537330100
93627800330
101434300480
116766971a8
12340417000
1319b1cb012
14d86c0384
1585dbcdc0
hex557db040

1434300480 has 224 divisors, whose sum is σ = 5109667200. Its totient is φ = 378722304.

The previous prime is 1434300479. The next prime is 1434300487. The reversal of 1434300480 is 840034341.

1434300480 is a `hidden beast` number, since 143 + 43 + 0 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1434300487) 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, 940999 + ... + 942521.

Almost surely, 21434300480 is an apocalyptic number.

1434300480 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 1434300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554833600).

1434300480 is an abundant number, since it is smaller than the sum of its proper divisors (3675366720).

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

1434300480 is a wasteful number, since it uses less digits than its factorization.

1434300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1434300480 is about 37872.1596954808. The cubic root of 1434300480 is about 1127.7514164763.

The spelling of 1434300480 in words is "one billion, four hundred thirty-four million, three hundred thousand, four hundred eighty".