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348346926060 = 223572196236071
BaseRepresentation
bin1010001000110110001…
…10000100001111101100
31020022010220012100020020
411010123012010033230
521201403303113220
6424010043322140
734111235005500
oct5043306041754
91208126170206
10348346926060
11124807838441
1257618820350
1326b06272273
1412c080c4300
1590dbd6e040
hex511b1843ec

348346926060 has 144 divisors (see below), whose sum is σ = 1194332509440. Its totient is φ = 75431502720.

The previous prime is 348346926023. The next prime is 348346926113. The reversal of 348346926060 is 60629643843.

It is a super-2 number, since 2×3483469260602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348346925994 and 348346926012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3062176 + ... + 3173895.

It is an arithmetic number, because the mean of its divisors is an integer number (8293975760).

Almost surely, 2348346926060 is an apocalyptic number.

348346926060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348346926060 is an abundant number, since it is smaller than the sum of its proper divisors (845985583380).

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

348346926060 is a wasteful number, since it uses less digits than its factorization.

348346926060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236116 (or 6236107 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

It can be divided in two parts, 348346 and 926060, that added together give a triangular number (1274406 = T1596).

The spelling of 348346926060 in words is "three hundred forty-eight billion, three hundred forty-six million, nine hundred twenty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 1140 1330 1470 1596 1862 1995 2660 2793 2940 3724 3990 4655 5586 7980 9310 11172 13965 18620 27930 55860 6236071 12472142 18708213 24944284 31180355 37416426 43652497 62360710 74832852 87304994 93541065 118485349 124721420 130957491 174609988 187082130 218262485 236970698 261914982 305567479 355456047 374164260 436524970 473941396 523829964 592426745 611134958 654787455 710912094 829397443 873049940 916702437 1184853490 1222269916 1309574910 1421824188 1527837395 1658794886 1777280235 1833404874 2369706980 2488192329 2619149820 3055674790 3317589772 3554560470 3666809748 4146987215 4583512185 4976384658 5805782101 6111349580 7109120940 8293974430 9167024370 9952769316 11611564202 12440961645 16587948860 17417346303 18334048740 23223128404 24881923290 29028910505 34834692606 49763846580 58057821010 69669385212 87086731515 116115642020 174173463030 348346926060