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336674772 = 22337491907
BaseRepresentation
bin10100000100010…
…011111111010100
3212110111211222000
4110010103333110
51142142043042
653224035300
711225455050
oct2404237724
9773454860
10336674772
11163053815
1294902b30
135499bc55
14329dcc60
151e85574c
hex14113fd4

336674772 has 96 divisors (see below), whose sum is σ = 1000688640. Its totient is φ = 95891040.

The previous prime is 336674753. The next prime is 336674837. The reversal of 336674772 is 277476633.

It is a super-2 number, since 2×3366747722 = 226699804202503968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370743 + ... + 371649.

It is an arithmetic number, because the mean of its divisors is an integer number (10423840).

Almost surely, 2336674772 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 336674772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500344320).

336674772 is an abundant number, since it is smaller than the sum of its proper divisors (664013868).

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

336674772 is a wasteful number, since it uses less digits than its factorization.

336674772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1410 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The square root of 336674772 is about 18348.6994634497. The cubic root of 336674772 is about 695.6703998239.

The spelling of 336674772 in words is "three hundred thirty-six million, six hundred seventy-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 491 756 907 982 1473 1814 1964 2721 2946 3437 3628 4419 5442 5892 6349 6874 8163 8838 10311 10884 12698 13257 13748 16326 17676 19047 20622 24489 25396 26514 30933 32652 38094 41244 48978 53028 57141 61866 76188 92799 97956 114282 123732 171423 185598 228564 342846 371196 445337 685692 890674 1336011 1781348 2672022 3117359 4008033 5344044 6234718 8016066 9352077 12024099 12469436 16032132 18704154 24048198 28056231 37408308 48096396 56112462 84168693 112224924 168337386 336674772