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428329350 = 233521916699
BaseRepresentation
bin11001100001111…
…100100110000110
31002211222101102000
4121201330212012
51334123014400
6110300330130
713420511421
oct3141744606
91084871360
10428329350
111aa8651a9
12bb543946
136a980027
1440c5a9b8
152790c600
hex1987c986

428329350 has 96 divisors (see below), whose sum is σ = 1242480000. Its totient is φ = 108203040.

The previous prime is 428329313. The next prime is 428329351. The reversal of 428329350 is 53923824.

428329350 is a `hidden beast` number, since 4 + 283 + 29 + 350 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428329351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17301 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (12942500).

Almost surely, 2428329350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428329350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621240000).

428329350 is an abundant number, since it is smaller than the sum of its proper divisors (814150650).

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

428329350 is a wasteful number, since it uses less digits than its factorization.

428329350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16739 (or 16728 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 428329350 is about 20696.1192014348. The cubic root of 428329350 is about 753.8054586555.

It can be divided in two parts, 4283 and 29350, that added together give a palindrome (33633).

The spelling of 428329350 in words is "four hundred twenty-eight million, three hundred twenty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 570 675 855 950 1026 1350 1425 1710 2565 2850 4275 5130 8550 12825 16699 25650 33398 50097 83495 100194 150291 166990 250485 300582 317281 417475 450873 500970 634562 751455 834950 901746 951843 1252425 1502910 1586405 1903686 2254365 2504850 2855529 3172810 3757275 4508730 4759215 5711058 7514550 7932025 8566587 9518430 11271825 14277645 15864050 17133174 22543650 23796075 28555290 42832935 47592150 71388225 85665870 142776450 214164675 428329350