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357428295 = 345733183
BaseRepresentation
bin10101010011011…
…110110001000111
3220220120020110000
4111103132301013
51213000201140
655244532343
711600043000
oct2523366107
9826506400
10357428295
11173839194
129b8510b3
1359087343
14356821a7
15215a4a30
hex154dec47

357428295 has 160 divisors (see below), whose sum is σ = 780595200. Its totient is φ = 156219840.

The previous prime is 357428287. The next prime is 357428321. The reversal of 357428295 is 592824753.

357428295 is a `hidden beast` number, since 357 + 4 + 2 + 8 + 295 = 666.

It is not a de Polignac number, because 357428295 - 23 = 357428287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 357428295.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4306324 + ... + 4306406.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2357428295 is an apocalyptic number.

357428295 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

357428295 is an abundant number, since it is smaller than the sum of its proper divisors (423166905).

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

357428295 is an equidigital number, since it uses as much as digits as its factorization.

357428295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 357428295 is about 18905.7741179778. The cubic root of 357428295 is about 709.6806703918.

The spelling of 357428295 in words is "three hundred fifty-seven million, four hundred twenty-eight thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 49 63 81 83 93 105 135 147 155 189 217 245 249 279 315 343 405 415 441 465 567 581 651 735 747 837 945 1029 1085 1245 1323 1395 1519 1715 1743 1953 2205 2241 2511 2573 2835 2905 3087 3255 3735 3969 4067 4185 4557 5145 5229 5859 6615 6723 7595 7719 8715 9261 9765 10633 11205 12201 12555 12865 13671 15435 15687 17577 18011 19845 20335 22785 23157 26145 27783 28469 29295 31899 33615 36603 38595 41013 46305 47061 53165 54033 61005 68355 69471 78435 85407 87885 90055 95697 109809 115785 123039 126077 138915 142345 159495 162099 183015 205065 208413 235305 256221 270165 287091 329427 347355 378231 427035 478485 486297 549045 615195 630385 768663 810495 861273 882539 1042065 1134693 1281105 1435455 1458891 1647135 1891155 2305989 2431485 2647617 3404079 3843315 4306365 4412695 5673465 7294455 7942851 10212237 11529945 13238085 17020395 23828553 39714255 51061185 71485659 119142765 357428295