Search a number
-
+
335290752 = 273473443
BaseRepresentation
bin10011111111000…
…010000110000000
3212100220112110000
4103333002012000
51141313301002
653134240000
711210632026
oct2377020600
9770815400
10335290752
111622989a5
1294356000
1354605cc4
143275c716
151e68061c
hex13fc2180

335290752 has 160 divisors (see below), whose sum is σ = 1013771880. Its totient is φ = 109983744.

The previous prime is 335290751. The next prime is 335290789. The reversal of 335290752 is 257092533.

It is a super-2 number, since 2×3352907522 = 224839776753451008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335290751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 756643 + ... + 757085.

Almost surely, 2335290752 is an apocalyptic number.

335290752 is a gapful number since it is divisible by the number (32) 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 335290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506885940).

335290752 is an abundant number, since it is smaller than the sum of its proper divisors (678481128).

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

335290752 is an equidigital number, since it uses as much as digits as its factorization.

335290752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 335290752 is about 18310.9462344249. The cubic root of 335290752 is about 694.7158246795.

The spelling of 335290752 in words is "three hundred thirty-five million, two hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 192 216 219 288 292 324 384 432 438 443 576 584 648 657 864 876 886 1152 1168 1296 1314 1329 1728 1752 1772 1971 2336 2592 2628 2658 3456 3504 3544 3942 3987 4672 5184 5256 5316 5913 7008 7088 7884 7974 9344 10368 10512 10632 11826 11961 14016 14176 15768 15948 21024 21264 23652 23922 28032 28352 31536 31896 32339 35883 42048 42528 47304 47844 56704 63072 63792 64678 71766 84096 85056 94608 95688 97017 126144 127584 129356 143532 170112 189216 191376 194034 252288 255168 258712 287064 291051 378432 382752 388068 510336 517424 574128 582102 756864 765504 776136 873153 1034848 1148256 1164204 1531008 1552272 1746306 2069696 2296512 2328408 2619459 3104544 3492612 4139392 4593024 4656816 5238918 6209088 6985224 9313632 10477836 12418176 13970448 18627264 20955672 27940896 37254528 41911344 55881792 83822688 111763584 167645376 335290752