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334690304 = 211132967
BaseRepresentation
bin10011111100101…
…111100000000000
3212022210000210012
4103330233200000
51141140042204
653113324052
711202551324
oct2374574000
9768700705
10334690304
11161a18863
1294106628
1354455900
1432643984
151e5b276e
hex13f2f800

334690304 has 72 divisors (see below), whose sum is σ = 725404680. Its totient is φ = 154312704.

The previous prime is 334690297. The next prime is 334690313. The reversal of 334690304 is 403096433.

It is a happy number.

It is a super-2 number, since 2×3346903042 = 224035199183224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 345629 + ... + 346595.

It is an arithmetic number, because the mean of its divisors is an integer number (10075065).

Almost surely, 2334690304 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 334690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362702340).

334690304 is an abundant number, since it is smaller than the sum of its proper divisors (390714376).

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

334690304 is an equidigital number, since it uses as much as digits as its factorization.

334690304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 334690304 is about 18294.5430115103. The cubic root of 334690304 is about 694.3008714068.

The spelling of 334690304 in words is "three hundred thirty-four million, six hundred ninety thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 967 1024 1352 1664 1934 2048 2704 3328 3868 5408 6656 7736 10816 12571 13312 15472 21632 25142 26624 30944 43264 50284 61888 86528 100568 123776 163423 173056 201136 247552 326846 346112 402272 495104 653692 804544 990208 1307384 1609088 1980416 2614768 3218176 5229536 6436352 10459072 12872704 20918144 25745408 41836288 83672576 167345152 334690304