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330421400 = 23521989977
BaseRepresentation
bin10011101100011…
…101010010011000
3212000202010221122
4103230131102120
51134041441100
652442024412
711121351461
oct2354352230
9760663848
10330421400
1115a572541
12927a8108
13535bc82a
1431c51d68
151e01c985
hex13b1d498

330421400 has 96 divisors (see below), whose sum is σ = 818586000. Its totient is φ = 123678720.

The previous prime is 330421387. The next prime is 330421439. The reversal of 330421400 is 4124033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337712 + ... + 338688.

Almost surely, 2330421400 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 330421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409293000).

330421400 is an abundant number, since it is smaller than the sum of its proper divisors (488164600).

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

330421400 is a wasteful number, since it uses less digits than its factorization.

330421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 330421400 is about 18177.4970774307. The cubic root of 330421400 is about 691.3363445863.

Adding to 330421400 its reverse (4124033), we get a palindrome (334545433).

The spelling of 330421400 in words is "three hundred thirty million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 89 95 100 152 178 190 200 356 380 445 475 712 760 890 950 977 1691 1780 1900 1954 2225 3382 3560 3800 3908 4450 4885 6764 7816 8455 8900 9770 13528 16910 17800 18563 19540 24425 33820 37126 39080 42275 48850 67640 74252 84550 86953 92815 97700 148504 169100 173906 185630 195400 338200 347812 371260 434765 464075 695624 742520 869530 928150 1652107 1739060 1856300 2173825 3304214 3478120 3712600 4347650 6608428 8260535 8695300 13216856 16521070 17390600 33042140 41302675 66084280 82605350 165210700 330421400