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394129428 = 2237112172281
BaseRepresentation
bin10111011111011…
…111000000010100
31000110121211221020
4113133133000110
51301344120203
6103035321140
712524021250
oct2737370024
91013554836
10394129428
11192526300
12abbb01b0
13638674a4
143a4b7260
1524904153
hex177df014

394129428 has 144 divisors (see below), whose sum is σ = 1223736192. Its totient is φ = 96307200.

The previous prime is 394129399. The next prime is 394129441. The reversal of 394129428 is 824921493.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 394129428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171648 + ... + 173928.

It is an arithmetic number, because the mean of its divisors is an integer number (8498168).

Almost surely, 2394129428 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 394129428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611868096).

394129428 is an abundant number, since it is smaller than the sum of its proper divisors (829606764).

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

394129428 is a wasteful number, since it uses less digits than its factorization.

394129428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2321 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 394129428 is about 19852.6932177979. The cubic root of 394129428 is about 733.1839584643.

The spelling of 394129428 in words is "three hundred ninety-four million, one hundred twenty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 121 132 154 187 204 231 238 242 308 357 363 374 462 476 484 561 714 726 748 847 924 1122 1309 1428 1452 1694 2057 2244 2281 2541 2618 3388 3927 4114 4562 5082 5236 6171 6843 7854 8228 9124 10164 12342 13686 14399 15708 15967 24684 25091 27372 28798 31934 38777 43197 47901 50182 57596 63868 75273 77554 86394 95802 100364 116331 150546 155108 172788 175637 191604 232662 271439 276001 301092 351274 426547 465324 526911 542878 552002 702548 814317 828003 853094 1053822 1085756 1104004 1279641 1628634 1656006 1706188 1932007 2107644 2559282 2985829 3257268 3312012 3864014 4692017 5118564 5796021 5971658 7728028 8957487 9384034 11592042 11943316 14076051 17914974 18768068 23184084 28152102 32844119 35829948 56304204 65688238 98532357 131376476 197064714 394129428