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335295480 = 233513372157
BaseRepresentation
bin10011111111000…
…011001111111000
3212100220202221010
4103333003033320
51141313423410
653134313520
711210651562
oct2377031770
9770822833
10335295480
111622a1503
12943588a0
13546081c0
1432760332
151e681c20
hex13fc33f8

335295480 has 192 divisors, whose sum is σ = 1120422240. Its totient is φ = 79792128.

The previous prime is 335295479. The next prime is 335295487. The reversal of 335295480 is 84592533.

It is a super-2 number, since 2×3352954802 = 224846117816860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335295487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2135562 + ... + 2135718.

Almost surely, 2335295480 is an apocalyptic number.

335295480 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 335295480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560211120).

335295480 is an abundant number, since it is smaller than the sum of its proper divisors (785126760).

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

335295480 is a wasteful number, since it uses less digits than its factorization.

335295480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 335295480 is about 18311.0753370740. The cubic root of 335295480 is about 694.7190901051.

The spelling of 335295480 in words is "three hundred thirty-five million, two hundred ninety-five thousand, four hundred eighty".