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348008411044 = 227291093931943
BaseRepresentation
bin1010001000001101110…
…10101110111110100100
31020021021022012222221001
411010012322232332210
521200210123123134
6423512312003044
734066654454320
oct5040672567644
91207238188831
10348008411044
11124653748068
1257543390484
1326a810aa818
1412bb5166980
1590bc2a3414
hex5106eaefa4

348008411044 has 48 divisors (see below), whose sum is σ = 726623251200. Its totient is φ = 142682311296.

The previous prime is 348008411041. The next prime is 348008411053. The reversal of 348008411044 is 440114800843.

It is a happy number.

It is a super-2 number, since 2×3480084110442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348008410994 and 348008411012.

It is not an unprimeable number, because it can be changed into a prime (348008411041) 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, 1877464 + ... + 2054479.

It is an arithmetic number, because the mean of its divisors is an integer number (15137984400).

Almost surely, 2348008411044 is an apocalyptic number.

It is an amenable number.

348008411044 is an abundant number, since it is smaller than the sum of its proper divisors (378614840156).

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

348008411044 is a wasteful number, since it uses less digits than its factorization.

348008411044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932092 (or 3932090 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 348008411044 in words is "three hundred forty-eight billion, eight million, four hundred eleven thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 58 109 116 203 218 406 436 763 812 1526 3052 3161 6322 12644 22127 44254 88508 3931943 7863886 15727772 27523601 55047202 110094404 114026347 228052694 428581787 456105388 798184429 857163574 1596368858 1714327148 3000072509 3192737716 6000145018 12000290036 12428871823 24857743646 49715487292 87002102761 174004205522 348008411044