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336672028 = 227113137953
BaseRepresentation
bin10100000100010…
…011010100011100
3212110111201012101
4110010103110130
51142142001103
653224014444
711225444050
oct2404232434
9773451171
10336672028
11163051750
1294901424
135499a924
14329dbc60
151e854a1d
hex1411351c

336672028 has 96 divisors (see below), whose sum is σ = 779563008. Its totient is φ = 123379200.

The previous prime is 336671977. The next prime is 336672041. The reversal of 336672028 is 820276633.

It is a super-2 number, since 2×3366720282 = 226696108875265568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352800 + ... + 353752.

It is an arithmetic number, because the mean of its divisors is an integer number (8120448).

Almost surely, 2336672028 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 336672028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389781504).

336672028 is an abundant number, since it is smaller than the sum of its proper divisors (442890980).

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

336672028 is a wasteful number, since it uses less digits than its factorization.

336672028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 336672028 is about 18348.6246896055. The cubic root of 336672028 is about 695.6685098449.

The spelling of 336672028 in words is "three hundred thirty-six million, six hundred seventy-two thousand, twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 31 37 44 62 74 77 124 148 154 217 259 308 341 407 434 518 682 814 868 953 1036 1147 1364 1628 1906 2294 2387 2849 3812 4588 4774 5698 6671 8029 9548 10483 11396 12617 13342 16058 20966 25234 26684 29543 32116 35261 41932 50468 59086 70522 73381 88319 118172 141044 146762 176638 206801 246827 293524 324973 353276 387871 413602 493654 649946 775742 827204 987308 1093091 1299892 1551484 2186182 2274811 2715097 4372364 4549622 5430194 7651637 9099244 10860388 12024001 15303274 24048002 30606548 48096004 84168007 168336014 336672028