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348535532971640 = 235719166493935023
BaseRepresentation
bin100111100111111011100000…
…0101000100110011001111000
31200201001200010120000200212002
41033033313000220212121320
5331140401232420043030
63233135002522440132
7133261601263646150
oct11717670050463170
91621050116020762
10348535532971640
11a10660a9072793
1233110630963048
1311c629b51929b1
14620d2d19b9760
152a46320882245
hex13cfdc0a26678

348535532971640 has 128 divisors (see below), whose sum is σ = 943461354240000. Its totient is φ = 113201705530368.

The previous prime is 348535532971627. The next prime is 348535532971699. The reversal of 348535532971640 is 46179235535843.

It is a super-4 number, since 4×3485355329716404 (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86605169 + ... + 90540191.

It is an arithmetic number, because the mean of its divisors is an integer number (7370791830000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅348535532971640 = 697071065943280, but 3⋅348535532971640 = 1045606598914920 is not.

Almost surely, 2348535532971640 is an apocalyptic number.

It is an amenable number.

348535532971640 is an abundant number, since it is smaller than the sum of its proper divisors (594925821268360).

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

348535532971640 is a wasteful number, since it uses less digits than its factorization.

348535532971640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951709 (or 3951705 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 65.

The spelling of 348535532971640 in words is "three hundred forty-eight trillion, five hundred thirty-five billion, five hundred thirty-two million, nine hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 16649 33298 66596 83245 116543 133192 166490 233086 316331 332980 466172 582715 632662 665960 932344 1165430 1265324 1581655 2214317 2330860 2530648 3163310 3935023 4428634 4661720 6326620 7870046 8857268 11071585 12653240 15740092 17714536 19675115 22143170 27545161 31480184 39350230 44286340 55090322 74765437 78700460 88572680 110180644 137725805 149530874 157400920 220361288 275451610 299061748 373827185 523358059 550903220 598123496 747654370 1046716118 1101806440 1495308740 2093432236 2616790295 2990617480 4186864472 5233580590 10467161180 20934322360 65514197927 131028395854 262056791708 327570989635 458599385489 524113583416 655141979270 917198770978 1244769760613 1310283958540 1834397541956 2292996927445 2489539521226 2620567917080 3668795083912 4585993854890 4979079042452 6223848803065 8713388324291 9171987709780 9958158084904 12447697606130 17426776648582 18343975419560 24895395212260 34853553297164 43566941621455 49790790424520 69707106594328 87133883242910 174267766485820 348535532971640