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340211660096 = 267211432111087
BaseRepresentation
bin1001111001101100011…
…00011111010101000000
31012112010221021000022102
410330312030133111000
521033223141110341
6420142512325532
733402522253100
oct4746614372500
91175127230272
10340211660096
11121312681740
1255b282438a8
132610a9bb819
1412675889200
158cb2a54c9b
hex4f3631f540

340211660096 has 336 divisors, whose sum is σ = 881611517952. Its totient is φ = 128735308800.

The previous prime is 340211660083. The next prime is 340211660101. The reversal of 340211660096 is 690066112043.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312981665 + ... + 312982751.

Almost surely, 2340211660096 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 340211660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440805758976).

340211660096 is an abundant number, since it is smaller than the sum of its proper divisors (541399857856).

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

340211660096 is a wasteful number, since it uses less digits than its factorization.

340211660096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 340211660096 in words is "three hundred forty billion, two hundred eleven million, six hundred sixty thousand, ninety-six".