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3397692480 = 2635713192389
BaseRepresentation
bin1100101010000100…
…1010110001000000
322202210100122212020
43022201022301000
523424302124410
61321052201440
7150124623660
oct31241126100
98683318766
103397692480
1114939aa716
127a9a69280
13421bc8730
1424336a1a0
1514d44da70
hexca84ac40

3397692480 has 896 divisors, whose sum is σ = 14747443200. Its totient is φ = 642318336.

The previous prime is 3397692479. The next prime is 3397692491. The reversal of 3397692480 is 842967933.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38176276 + ... + 38176364.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 23397692480 is an apocalyptic number.

3397692480 is a gapful number since it is divisible by the number (30) 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 3397692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373721600).

3397692480 is an abundant number, since it is smaller than the sum of its proper divisors (11349750720).

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

3397692480 is a wasteful number, since it uses less digits than its factorization.

3397692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 3397692480 is about 58289.7287693124. The cubic root of 3397692480 is about 1503.3543422230.

The spelling of 3397692480 in words is "three billion, three hundred ninety-seven million, six hundred ninety-two thousand, four hundred eighty".