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335106972 = 22329308527
BaseRepresentation
bin10011111110010…
…101001110011100
3212100120012100100
4103332111032130
51141241410342
653130301100
711206235154
oct2376251634
9770505310
10335106972
11162182912
1294287790
1354570465
1432711764
151e645e4c
hex13f9539c

335106972 has 18 divisors (see below), whose sum is σ = 847076048. Its totient is φ = 111702312.

The previous prime is 335106949. The next prime is 335107001. The reversal of 335106972 is 279601533.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3351069722 = 224593365366017568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9308527 = 335106972 / (3 + 3 + 5 + 1 + 0 + 6 + 9 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4654228 + ... + 4654299.

Almost surely, 2335106972 is an apocalyptic number.

It is an amenable number.

335106972 is an abundant number, since it is smaller than the sum of its proper divisors (511969076).

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

335106972 is a wasteful number, since it uses less digits than its factorization.

335106972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308537 (or 9308532 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 335106972 is about 18305.9272368269. The cubic root of 335106972 is about 694.5888719699.

The spelling of 335106972 in words is "three hundred thirty-five million, one hundred six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 9308527 18617054 27925581 37234108 55851162 83776743 111702324 167553486 335106972