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1434831552 = 2632711217173
BaseRepresentation
bin101010110000101…
…1100101011000000
310200222212222212100
41111201130223000
510414304102202
6354213230400
750361603240
oct12541345300
93628788770
101434831552
11676a1a200
12340632400
1319b35596b
14d87bbb20
1585e7541c
hex5585cac0

1434831552 has 504 divisors, whose sum is σ = 5501871648. Its totient is φ = 348733440.

The previous prime is 1434831539. The next prime is 1434831583. The reversal of 1434831552 is 2551384341.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×14348315522 = 4117483165229457408, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8293738 + ... + 8293910.

It is an arithmetic number, because the mean of its divisors is an integer number (10916412).

Almost surely, 21434831552 is an apocalyptic number.

1434831552 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 1434831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750935824).

1434831552 is an abundant number, since it is smaller than the sum of its proper divisors (4067040096).

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

1434831552 is a wasteful number, since it uses less digits than its factorization.

1434831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1434831552 is about 37879.1704238622. The cubic root of 1434831552 is about 1127.8905884523.

The spelling of 1434831552 in words is "one billion, four hundred thirty-four million, eight hundred thirty-one thousand, five hundred fifty-two".