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337424472 = 23327113503
BaseRepresentation
bin10100000111001…
…011000001011000
3212111220221100200
4110013023001120
51142340040342
653252102200
711235026550
oct2407130130
9774827320
10337424472
11163516000
1295004960
1354ba2268
1432b56160
151e95294c
hex141cb058

337424472 has 192 divisors, whose sum is σ = 1151055360. Its totient is φ = 87468480.

The previous prime is 337424431. The next prime is 337424509. The reversal of 337424472 is 274424733.

It is a super-2 number, since 2×3374244722 = 227710548608957568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 670573 + ... + 671075.

It is an arithmetic number, because the mean of its divisors is an integer number (5995080).

Almost surely, 2337424472 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 337424472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

337424472 is an abundant number, since it is smaller than the sum of its proper divisors (813630888).

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

337424472 is a wasteful number, since it uses less digits than its factorization.

337424472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 526 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 337424472 is about 18369.1173440642. The cubic root of 337424472 is about 696.1863848826.

The spelling of 337424472 in words is "three hundred thirty-seven million, four hundred twenty-four thousand, four hundred seventy-two".