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300153420 = 223257234031
BaseRepresentation
bin10001111000111…
…111101001001100
3202220210101002100
4101320333221030
51103314402140
645441155100
710303155600
oct2170775114
9686711070
10300153420
11144479786
128462ba90
134a252898
142bc13500
151b53e530
hex11e3fa4c

300153420 has 108 divisors (see below), whose sum is σ = 1059143904. Its totient is φ = 68604480.

The previous prime is 300153401. The next prime is 300153457. The reversal of 300153420 is 24351003.

It is a super-3 number, since 3×3001534203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300153393 and 300153402.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8196 + ... + 25835.

It is an arithmetic number, because the mean of its divisors is an integer number (9806888).

Almost surely, 2300153420 is an apocalyptic number.

300153420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300153420 is an abundant number, since it is smaller than the sum of its proper divisors (758990484).

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

300153420 is a wasteful number, since it uses less digits than its factorization.

300153420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34060 (or 34048 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 300153420 is about 17324.9363635195. The cubic root of 300153420 is about 669.5470466383.

The spelling of 300153420 in words is "three hundred million, one hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 34031 68062 102093 136124 170155 204186 238217 306279 340310 408372 476434 510465 612558 680620 714651 952868 1020930 1191085 1225116 1429302 1531395 1667519 2041860 2143953 2382170 2858604 3062790 3335038 3573255 4287906 4764340 5002557 6125580 6670076 7146510 8337595 8575812 10005114 10719765 14293020 15007671 16675190 20010228 21439530 25012785 30015342 33350380 42879060 50025570 60030684 75038355 100051140 150076710 300153420