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334169088 = 21031122931
BaseRepresentation
bin10011111010110…
…000010000000000
3212021210112210220
4103322300100000
51141021402323
653054223040
711165250621
oct2372602000
9767715726
10334169088
111616a2200
1293ab4a80
13543025b6
1432549a48
151e50d0e3
hex13eb0400

334169088 has 264 divisors, whose sum is σ = 1045443840. Its totient is φ = 94617600.

The previous prime is 334169027. The next prime is 334169113. The reversal of 334169088 is 880961433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×3341690882 = 223337958749503488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10779633 + ... + 10779663.

Almost surely, 2334169088 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 334169088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522721920).

334169088 is an abundant number, since it is smaller than the sum of its proper divisors (711274752).

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

334169088 is a wasteful number, since it uses less digits than its factorization.

334169088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 334169088 is about 18280.2923390191. The cubic root of 334169088 is about 693.9402706418.

The spelling of 334169088 in words is "three hundred thirty-four million, one hundred sixty-nine thousand, eighty-eight".