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354234448368 = 24335113160373
BaseRepresentation
bin1010010011110100000…
…01001011100111110000
31020212100012121110112000
411021322001023213300
521300433004321433
6430422201334000
734410155062533
oct5117201134760
91225305543460
10354234448368
11127259125059
12587a0497300
1327533c48c88
1413205db4a1a
159333b8a113
hex527a04b9f0

354234448368 has 80 divisors (see below), whose sum is σ = 1016989268640. Its totient is φ = 118054319616.

The previous prime is 354234448307. The next prime is 354234448369. The reversal of 354234448368 is 863844432453.

354234448368 is a `hidden beast` number, since 3 + 5 + 4 + 234 + 4 + 48 + 368 = 666.

It is a super-3 number, since 3×3542344483683 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354234448369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2128630 + ... + 2289002.

It is an arithmetic number, because the mean of its divisors is an integer number (12712365858).

Almost surely, 2354234448368 is an apocalyptic number.

It is an amenable number.

354234448368 is an abundant number, since it is smaller than the sum of its proper divisors (662754820272).

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

354234448368 is a wasteful number, since it uses less digits than its factorization.

354234448368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165503 (or 165491 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 54.

The spelling of 354234448368 in words is "three hundred fifty-four billion, two hundred thirty-four million, four hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5113 10226 15339 20452 30678 40904 46017 61356 81808 92034 122712 138051 160373 184068 245424 276102 320746 368136 481119 552204 641492 736272 962238 1104408 1282984 1443357 1924476 2208816 2565968 2886714 3848952 4330071 5773428 7697904 8660142 11546856 17320284 23093712 34640568 69281136 819987149 1639974298 2459961447 3279948596 4919922894 6559897192 7379884341 9839845788 13119794384 14759768682 19679691576 22139653023 29519537364 39359383152 44279306046 59039074728 88558612092 118078149456 177117224184 354234448368