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337416990 = 23511247233
BaseRepresentation
bin10100000111001…
…001001100011110
3212111220120002120
4110013021030132
51142334320430
653252003410
711234666001
oct2407111436
9774816076
10337416990
11163510419
1295000566
1354b9ba31
1432b53538
151e950610
hex141c931e

337416990 has 16 divisors (see below), whose sum is σ = 809800848. Its totient is φ = 89977856.

The previous prime is 337416967. The next prime is 337416997. The reversal of 337416990 is 99614733.

It is a super-3 number, since 3×3374169903 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337416997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5623587 + ... + 5623646.

It is an arithmetic number, because the mean of its divisors is an integer number (50612553).

Almost surely, 2337416990 is an apocalyptic number.

337416990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

337416990 is an abundant number, since it is smaller than the sum of its proper divisors (472383858).

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

337416990 is a wasteful number, since it uses less digits than its factorization.

337416990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247243.

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 337416990 is about 18368.9136858988. The cubic root of 337416990 is about 696.1812391335.

The spelling of 337416990 in words is "three hundred thirty-seven million, four hundred sixteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 11247233 22494466 33741699 56236165 67483398 112472330 168708495 337416990