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5434769340 = 2232572111331139
BaseRepresentation
bin1010000111110111…
…11111111110111100
3112000202110212222100
411003323333332330
542112300104330
62255141545100
7251451530400
oct50373777674
915022425870
105434769340
112339870710
121078115190
13687c54c60
14397b17100
1521c1d7060
hex143efffbc

5434769340 has 864 divisors, whose sum is σ = 23423662080. Its totient is φ = 1001548800.

The previous prime is 5434769339. The next prime is 5434769341. The reversal of 5434769340 is 439674345.

5434769340 is a `hidden beast` number, since 54 + 3 + 476 + 93 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5434769339) and next prime (5434769341).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434769341) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39098991 + ... + 39099129.

It is an arithmetic number, because the mean of its divisors is an integer number (27110720).

Almost surely, 25434769340 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 5434769340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711831040).

5434769340 is an abundant number, since it is smaller than the sum of its proper divisors (17988892740).

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

5434769340 is a wasteful number, since it uses less digits than its factorization.

5434769340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 5434769340 is about 73720.8880847213. Note that the first 3 decimals coincide. The cubic root of 5434769340 is about 1758.1680037619.

The spelling of 5434769340 in words is "five billion, four hundred thirty-four million, seven hundred sixty-nine thousand, three hundred forty".