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335084152 = 231319672531
BaseRepresentation
bin10011111110001…
…111101001111000
3212100112001001011
4103332033221320
51141240143102
653130003304
711206111504
oct2376175170
9770461034
10335084152
11162167757
1294276534
1354562c60
1432707304
151e63e2d7
hex13f8fa78

335084152 has 64 divisors (see below), whose sum is σ = 723139200. Its totient is φ = 144270720.

The previous prime is 335084149. The next prime is 335084159. The reversal of 335084152 is 251480533.

It is a super-2 number, since 2×3350841522 = 224562777843118208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335084159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131127 + ... + 133657.

It is an arithmetic number, because the mean of its divisors is an integer number (11299050).

Almost surely, 2335084152 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 335084152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361569600).

335084152 is an abundant number, since it is smaller than the sum of its proper divisors (388055048).

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

335084152 is a wasteful number, since it uses less digits than its factorization.

335084152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 335084152 is about 18305.3039308284. The cubic root of 335084152 is about 694.5731049868.

The spelling of 335084152 in words is "three hundred thirty-five million, eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 67 76 104 134 152 247 268 494 536 871 988 1273 1742 1976 2531 2546 3484 5062 5092 6968 10124 10184 16549 20248 32903 33098 48089 65806 66196 96178 131612 132392 169577 192356 263224 339154 384712 625157 678308 1250314 1356616 2204501 2500628 3221963 4409002 5001256 6443926 8818004 12887852 17636008 25775704 41885519 83771038 167542076 335084152