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354231421350 = 23528340497027
BaseRepresentation
bin1010010011110011101…
…01101000100110100110
31020212022222220200020020
411021321311220212212
521300431220440400
6430422012420010
734410120254442
oct5117165504646
91225288820206
10354231421350
11127257447894
125879b477606
1327533429241
1413205827822
15933378d2a0
hex5279d689a6

354231421350 has 96 divisors (see below), whose sum is σ = 889424323200. Its totient is φ = 93287293440.

The previous prime is 354231421343. The next prime is 354231421351. The reversal of 354231421350 is 53124132453.

It is a super-3 number, since 3×3542314213503 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354231421351) 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, 50406537 + ... + 50413563.

It is an arithmetic number, because the mean of its divisors is an integer number (9264836700).

Almost surely, 2354231421350 is an apocalyptic number.

354231421350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354231421350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444712161600).

354231421350 is an abundant number, since it is smaller than the sum of its proper divisors (535192901850).

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

354231421350 is a wasteful number, since it uses less digits than its factorization.

354231421350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11174 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 354231421350 in words is "three hundred fifty-four billion, two hundred thirty-one million, four hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 498 830 1245 2075 2490 4049 4150 6225 7027 8098 12147 12450 14054 20245 21081 24294 35135 40490 42162 60735 70270 101225 105405 121470 175675 202450 210810 303675 336067 351350 527025 583241 607350 672134 1008201 1054050 1166482 1680335 1749723 2016402 2916205 3360670 3499446 5041005 5832410 8401675 8748615 10082010 14581025 16803350 17497230 25205025 28452323 29162050 43743075 50410050 56904646 85356969 87486150 142261615 170713938 284523230 426784845 711308075 853569690 1422616150 2133924225 2361542809 4267848450 4723085618 7084628427 11807714045 14169256854 23615428090 35423142135 59038570225 70846284270 118077140450 177115710675 354231421350