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340342603776 = 225327223
BaseRepresentation
bin1001111001111100000…
…00000000000000000000
31012112111001122122021100
410330332000000000000
521034010201310101
6420203511054400
733406002254100
oct4747600000000
91175431578240
10340342603776
1112137a58865a
1255b64071400
132612bb779a6
1412689013200
158cbe2bce86
hex4f3e000000

340342603776 has 468 divisors, whose sum is σ = 1193464019592. Its totient is φ = 93012885504.

The previous prime is 340342603717. The next prime is 340342603813. The reversal of 340342603776 is 677306243043.

340342603776 is a `hidden beast` number, since 3 + 4 + 0 + 34 + 2 + 603 + 7 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14797504501 + ... + 14797504523.

It is an arithmetic number, because the mean of its divisors is an integer number (2550136794).

Almost surely, 2340342603776 is an apocalyptic number.

340342603776 is a gapful number since it is divisible by the number (36) 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 340342603776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596732009796).

340342603776 is an abundant number, since it is smaller than the sum of its proper divisors (853121415816).

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

340342603776 is an frugal number, since it uses more digits than its factorization.

340342603776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 340342603776 in words is "three hundred forty billion, three hundred forty-two million, six hundred three thousand, seven hundred seventy-six".