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348400442202 = 2331347113367
BaseRepresentation
bin1010001000111100100…
…10001101101101011010
31020022021121220020120120
411010132102031231122
521202011003122302
6424015234334110
734112454616311
oct5043622155532
91208247806516
10348400442202
11124834a6a95a
125763272a336
1326b1438bc17
1412c11255278
1590e18e09bc
hex511e48db5a

348400442202 has 128 divisors (see below), whose sum is σ = 743875411968. Its totient is φ = 108725541120.

The previous prime is 348400442191. The next prime is 348400442311. The reversal of 348400442202 is 202244004843.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 949319823 + ... + 949320189.

It is an arithmetic number, because the mean of its divisors is an integer number (5811526656).

Almost surely, 2348400442202 is an apocalyptic number.

348400442202 is an abundant number, since it is smaller than the sum of its proper divisors (395474969766).

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

348400442202 is a wasteful number, since it uses less digits than its factorization.

348400442202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 348400442202 in words is "three hundred forty-eight billion, four hundred million, four hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 31 47 62 93 94 113 141 186 226 282 339 367 678 734 961 1101 1457 1922 2202 2883 2914 3503 4371 5311 5766 7006 8742 10509 10622 11377 15933 17249 21018 22754 29791 31866 34131 34498 41471 45167 51747 59582 68262 82942 89373 90334 103494 108593 124413 135501 164641 178746 217186 248826 271002 325779 329282 352687 493923 534719 651558 705374 987846 1058061 1069438 1285601 1400177 1604157 1949137 2116122 2571202 2800354 3208314 3366383 3856803 3898274 4200531 5103871 5847411 6732766 7713606 8401062 10099149 10207742 10933297 11694822 15311613 16576289 20198298 21866594 30623226 32799891 33152578 39853631 49728867 60423247 65599782 79707262 99457734 119560893 120846494 158220001 181269741 239121786 316440002 362539482 474660003 513864959 949320006 1027729918 1235462561 1541594877 1873120657 2470925122 3083189754 3706387683 3746241314 5619361971 7412775366 11238723942 58066740367 116133480734 174200221101 348400442202