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330337116 = 22351931577
BaseRepresentation
bin10011101100001…
…000101101011100
3212000120212100000
4103230020231130
51134031241431
652440134300
711120550654
oct2354105534
9760525300
10330337116
1115a51518a
1292767390
1353590365
1431c2d364
151e0029e6
hex13b08b5c

330337116 has 144 divisors (see below), whose sum is σ = 942556160. Its totient is φ = 100776960.

The previous prime is 330337087. The next prime is 330337151. The reversal of 330337116 is 611733033.

It is a super-2 number, since 2×3303371162 = 218245220414394912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 330337116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572220 + ... + 572796.

Almost surely, 2330337116 is an apocalyptic number.

330337116 is a gapful number since it is divisible by the number (36) 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 330337116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471278080).

330337116 is an abundant number, since it is smaller than the sum of its proper divisors (612219044).

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

330337116 is a wasteful number, since it uses less digits than its factorization.

330337116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 330337116 is about 18175.1785685863. The cubic root of 330337116 is about 691.2775574864.

The spelling of 330337116 in words is "three hundred thirty million, three hundred thirty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 81 93 108 114 124 162 171 186 228 243 279 324 342 372 486 513 558 577 589 684 837 972 1026 1116 1154 1178 1539 1674 1731 1767 2052 2308 2356 2511 3078 3348 3462 3534 4617 5022 5193 5301 6156 6924 7068 7533 9234 10044 10386 10602 10963 15066 15579 15903 17887 18468 20772 21204 21926 30132 31158 31806 32889 35774 43852 46737 47709 53661 62316 63612 65778 71548 93474 95418 98667 107322 131556 140211 143127 160983 186948 190836 197334 214644 280422 286254 296001 321966 339853 394668 482949 560844 572508 592002 643932 679706 888003 965898 1019559 1184004 1359412 1448847 1776006 1931796 2039118 2664009 2897694 3058677 3552012 4078236 4346541 5328018 5795388 6117354 8693082 9176031 10656036 12234708 17386164 18352062 27528093 36704124 55056186 82584279 110112372 165168558 330337116