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335249376 = 253721121931
BaseRepresentation
bin10011111110110…
…111111111100000
3212100211102200120
4103332313333200
51141310440001
653133320240
711210400300
oct2376677740
9770742616
10335249376
1116226a900
1294336080
13545c0217
143274b600
151e673236
hex13fb7fe0

335249376 has 432 divisors, whose sum is σ = 1222663680. Its totient is φ = 79833600.

The previous prime is 335249353. The next prime is 335249389. The reversal of 335249376 is 673942533.

335249376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3352493762 = 224784288216778752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10814481 + ... + 10814511.

It is an arithmetic number, because the mean of its divisors is an integer number (2830240).

Almost surely, 2335249376 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 335249376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611331840).

335249376 is an abundant number, since it is smaller than the sum of its proper divisors (887414304).

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

335249376 is a wasteful number, since it uses less digits than its factorization.

335249376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its digits is 408240, while the sum is 42.

The square root of 335249376 is about 18309.8163835687. The cubic root of 335249376 is about 694.6872467520.

The spelling of 335249376 in words is "three hundred thirty-five million, two hundred forty-nine thousand, three hundred seventy-six".