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434426983452 = 22387111791201
BaseRepresentation
bin1100101001001011101…
…11011011010000011100
31112112022222000100000000
412110211313123100130
524104201301432302
6531323433534300
743246335301110
oct6244567332034
91475288010000
10434426983452
1115826a785640
1270240874390
1331c73c23377
141705254b740
15b478edb31c
hex6525ddb41c

434426983452 has 432 divisors, whose sum is σ = 1430821566720. Its totient is φ = 112114368000.

The previous prime is 434426983439. The next prime is 434426983483. The reversal of 434426983452 is 254389624434.

434426983452 is a `hidden beast` number, since 4 + 34 + 4 + 269 + 8 + 345 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361720452 + ... + 361721652.

It is an arithmetic number, because the mean of its divisors is an integer number (3312086960).

Almost surely, 2434426983452 is an apocalyptic number.

434426983452 is a gapful number since it is divisible by the number (42) 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 434426983452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715410783360).

434426983452 is an abundant number, since it is smaller than the sum of its proper divisors (996394583268).

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

434426983452 is a wasteful number, since it uses less digits than its factorization.

434426983452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1403 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 434426983452 in words is "four hundred thirty-four billion, four hundred twenty-six million, nine hundred eighty-three thousand, four hundred fifty-two".