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334269072 = 24334331787
BaseRepresentation
bin10011111011001…
…000101010010000
3212021222121222000
4103323020222100
51141033102242
653100314000
711166145254
oct2373105220
9767877860
10334269072
11161760335
1293b42900
1354338c67
1432574264
151e52ca4c
hex13ec8a90

334269072 has 80 divisors (see below), whose sum is σ = 962230080. Its totient is φ = 111103488.

The previous prime is 334269053. The next prime is 334269073. The reversal of 334269072 is 270962433.

It is a happy number.

It is a super-2 number, since 2×3342690722 = 223471624991482368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (334269073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186163 + ... + 187949.

It is an arithmetic number, because the mean of its divisors is an integer number (12027876).

Almost surely, 2334269072 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 334269072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481115040).

334269072 is an abundant number, since it is smaller than the sum of its proper divisors (627961008).

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

334269072 is a wasteful number, since it uses less digits than its factorization.

334269072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 334269072 is about 18283.0268828769. The cubic root of 334269072 is about 694.0094731382.

The spelling of 334269072 in words is "three hundred thirty-four million, two hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 433 866 1299 1732 1787 2598 3464 3574 3897 5196 5361 6928 7148 7794 10392 10722 11691 14296 15588 16083 20784 21444 23382 28592 31176 32166 42888 46764 48249 62352 64332 85776 93528 96498 128664 187056 192996 257328 385992 771984 773771 1547542 2321313 3095084 4642626 6190168 6963939 9285252 12380336 13927878 18570504 20891817 27855756 37141008 41783634 55711512 83567268 111423024 167134536 334269072