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1434003264 = 26351923211
BaseRepresentation
bin101010101111001…
…0010011101000000
310200221022220200000
41111132102131000
510414101101024
6354143400000
750351553351
oct12536223500
93627286600
101434003264
11676503971
123402b3000
1319b125955
14d8643d28
1585d5ecc9
hex55792740

1434003264 has 336 divisors, whose sum is σ = 4704161280. Its totient is φ = 431101440.

The previous prime is 1434003257. The next prime is 1434003269. The reversal of 1434003264 is 4623004341.

It is a super-2 number, since 2×14340032642 = 4112730722325307392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434003269) 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, 6796119 + ... + 6796329.

It is an arithmetic number, because the mean of its divisors is an integer number (14000480).

Almost surely, 21434003264 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 1434003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352080640).

1434003264 is an abundant number, since it is smaller than the sum of its proper divisors (3270158016).

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

1434003264 is a wasteful number, since it uses less digits than its factorization.

1434003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1434003264 is about 37868.2355543535. The cubic root of 1434003264 is about 1127.6735134788.

The spelling of 1434003264 in words is "one billion, four hundred thirty-four million, three thousand, two hundred sixty-four".