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1434822480 = 2432571361359
BaseRepresentation
bin101010110000101…
…1010011101010000
310200222212112102100
41111201122131100
510414303304410
6354213120400
750361534630
oct12541323520
93628775370
101434822480
11676a13403
12340629100
1319b3517b0
14d87b86c0
1585e728c0
hex5585a750

1434822480 has 480 divisors, whose sum is σ = 6044613120. Its totient is φ = 296939520.

The previous prime is 1434822451. The next prime is 1434822497. The reversal of 1434822480 is 842284341.

1434822480 is a `hidden beast` number, since 14 + 348 + 224 + 80 = 666.

It is a super-2 number, since 2×14348224802 = 4117431098226700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3996541 + ... + 3996899.

It is an arithmetic number, because the mean of its divisors is an integer number (12592944).

Almost surely, 21434822480 is an apocalyptic number.

1434822480 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 1434822480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022306560).

1434822480 is an abundant number, since it is smaller than the sum of its proper divisors (4609790640).

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

1434822480 is a wasteful number, since it uses less digits than its factorization.

1434822480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1434822480 is about 37879.0506744823. The cubic root of 1434822480 is about 1127.8882113451. Note that the first 3 decimals are identical.

The spelling of 1434822480 in words is "one billion, four hundred thirty-four million, eight hundred twenty-two thousand, four hundred eighty".