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420355350 = 232523130133
BaseRepresentation
bin11001000011100…
…001110100010110
31002021222021010200
4121003201310112
51330102332400
6105413401330
713262650542
oct3103416426
91067867120
10420355350
111a6309218
12b8939246
136911a69c
143db82a22
1526d84b00
hex190e1d16

420355350 has 72 divisors (see below), whose sum is σ = 1165824192. Its totient is φ = 108475200.

The previous prime is 420355303. The next prime is 420355363. The reversal of 420355350 is 53553024.

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 1117 + ... + 29016.

Almost surely, 2420355350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420355350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582912096).

420355350 is an abundant number, since it is smaller than the sum of its proper divisors (745468842).

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

420355350 is a wasteful number, since it uses less digits than its factorization.

420355350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30182 (or 30174 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 420355350 is about 20502.5693511813. The cubic root of 420355350 is about 749.0983832172.

The spelling of 420355350 in words is "four hundred twenty million, three hundred fifty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 4650 6975 13950 30133 60266 90399 150665 180798 271197 301330 451995 542394 753325 903990 934123 1355985 1506650 1868246 2259975 2711970 2802369 4519950 4670615 5604738 6779925 8407107 9341230 13559850 14011845 16814214 23353075 28023690 42035535 46706150 70059225 84071070 140118450 210177675 420355350