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348065125432 = 231931283261017
BaseRepresentation
bin1010001000010100100…
…11000101010000111000
31020021102020221101102221
411010022103011100320
521200314133003212
6423522055333424
734101243515353
oct5041223052070
91207366841387
10348065125432
11124682764462
125755a381274
1326a8ca7712b
1412bbc8cb29a
1590c2257807
hex510a4c5438

348065125432 has 64 divisors (see below), whose sum is σ = 711639475200. Its totient is φ = 158990065920.

The previous prime is 348065125427. The next prime is 348065125453. The reversal of 348065125432 is 234521560843.

It is a super-2 number, since 2×3480651254322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1202988 + ... + 1464004.

It is an arithmetic number, because the mean of its divisors is an integer number (11119366800).

Almost surely, 2348065125432 is an apocalyptic number.

It is an amenable number.

348065125432 is an abundant number, since it is smaller than the sum of its proper divisors (363574349768).

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

348065125432 is a wasteful number, since it uses less digits than its factorization.

348065125432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261356 (or 261352 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 348065125432 in words is "three hundred forty-eight billion, sixty-five million, one hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 283 566 589 1132 1178 2264 2356 4712 5377 8773 10754 17546 21508 35092 43016 70184 166687 261017 333374 522034 666748 1044068 1333496 2088136 4959323 8091527 9918646 16183054 19837292 32366108 39674584 64732216 73867811 147735622 153739013 295471244 307478026 590942488 614956052 1229912104 1403488409 2289902141 2806976818 4579804282 5613953636 9159608564 11227907272 18319217128 43508140679 87016281358 174032562716 348065125432