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348354438780 = 223553149973079
BaseRepresentation
bin1010001000110111000…
…10101110011001111100
31020022011102100000202010
411010123202232121330
521201412214020110
6424010512331220
734111355605455
oct5043342563174
91208142300663
10348354438780
11124810aa98a7
125761b243b10
1326b079a296a
1412c090bc12c
1590dc855020
hex511b8ae67c

348354438780 has 96 divisors (see below), whose sum is σ = 994472640000. Its totient is φ = 91079742208.

The previous prime is 348354438769. The next prime is 348354438787. The reversal of 348354438780 is 87834453843.

It is a self number, because there is not a number n which added to its sum of digits gives 348354438780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348354438787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4730281 + ... + 4803359.

It is an arithmetic number, because the mean of its divisors is an integer number (10359090000).

Almost surely, 2348354438780 is an apocalyptic number.

348354438780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348354438780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497236320000).

348354438780 is an abundant number, since it is smaller than the sum of its proper divisors (646118201220).

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

348354438780 is a wasteful number, since it uses less digits than its factorization.

348354438780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74643 (or 74641 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 348354438780 in words is "three hundred forty-eight billion, three hundred fifty-four million, four hundred thirty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1499 1590 2998 3180 4497 5996 7495 8994 14990 17988 22485 29980 44970 73079 79447 89940 146158 158894 219237 238341 292316 317788 365395 397235 438474 476682 730790 794470 876948 953364 1096185 1191705 1461580 1588940 2192370 2383410 3873187 4384740 4766820 7746374 11619561 15492748 19365935 23239122 38731870 46478244 58097805 77463740 109545421 116195610 219090842 232391220 328636263 438181684 547727105 657272526 1095454210 1314545052 1643181315 2190908420 3286362630 5805907313 6572725260 11611814626 17417721939 23223629252 29029536565 34835443878 58059073130 69670887756 87088609695 116118146260 174177219390 348354438780