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424290384 = 243272318301
BaseRepresentation
bin11001010010100…
…010100001010000
31002120101011222200
4121102202201100
51332104243014
6110034003200
713341260130
oct3122424120
91076334880
10424290384
111a8556711
12ba116500
1369b977cb
14404c8ac0
15273b0a09
hex194a2850

424290384 has 120 divisors (see below), whose sum is σ = 1416135552. Its totient is φ = 115948800.

The previous prime is 424290379. The next prime is 424290401. The reversal of 424290384 is 483092424.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14034 + ... + 32334.

Almost surely, 2424290384 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 424290384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708067776).

424290384 is an abundant number, since it is smaller than the sum of its proper divisors (991845168).

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

424290384 is a wasteful number, since it uses less digits than its factorization.

424290384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18345 (or 18336 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 424290384 is about 20598.3102219575. The cubic root of 424290384 is about 751.4286156818.

The spelling of 424290384 in words is "four hundred twenty-four million, two hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 18301 23184 36602 54903 73204 109806 128107 146408 164709 219612 256214 292816 329418 384321 420923 439224 512428 658836 768642 841846 878448 1024856 1152963 1262769 1317672 1537284 1683692 2049712 2305926 2525538 2635344 2946461 3074568 3367384 3788307 4611852 5051076 5892922 6149136 6734768 7576614 8839383 9223704 10102152 11785844 15153228 17678766 18447408 20204304 23571688 26518149 30306456 35357532 47143376 53036298 60612912 70715064 106072596 141430128 212145192 424290384