Search a number
-
+
348434525294440 = 235133373474757223
BaseRepresentation
bin100111100111001100011110…
…0000110111000111101101000
31200200201000102011021001100121
41033032120330012320331220
5331132222401433410230
63233020340001413024
7133251364232603224
oct11716307406707550
91620630364231317
10348434525294440
11a102728594a912
12330b4b4163a174
1311c56308988870
14620846cbad784
152a438ace4b77a
hex13ce63c1b8f68

348434525294440 has 128 divisors (see below), whose sum is σ = 846828118805760. Its totient is φ = 128265055801344.

The previous prime is 348434525294363. The next prime is 348434525294497. The reversal of 348434525294440 is 44492525434843.

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, 6089035669 + ... + 6089092891.

It is an arithmetic number, because the mean of its divisors is an integer number (6615844678170).

Almost surely, 2348434525294440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348434525294440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423414059402880).

348434525294440 is an abundant number, since it is smaller than the sum of its proper divisors (498393593511320).

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

348434525294440 is a wasteful number, since it uses less digits than its factorization.

348434525294440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92331 (or 92327 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 61.

The spelling of 348434525294440 in words is "three hundred forty-eight trillion, four hundred thirty-four billion, five hundred twenty-five million, two hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 337 520 674 1348 1685 2696 3370 4381 6740 8762 13480 17524 21905 34747 35048 43810 57223 69494 87620 114446 138988 173735 175240 228892 277976 286115 347470 451711 457784 572230 694940 743899 903422 1144460 1389880 1487798 1806844 2258555 2288920 2975596 3613688 3719495 4517110 5951192 7438990 9034220 11709739 14877980 18068440 19284151 23419478 29755960 38568302 46838956 58548695 77136604 93677912 96420755 117097390 152226607 154273208 192841510 234194780 250693963 304453214 385683020 468389560 501387926 608906428 761133035 771366040 1002775852 1217812856 1253469815 1522266070 1988327581 2005551704 2506939630 3044532140 3976655162 5013879260 6089064280 7953310324 9941637905 10027758520 15906620648 19883275810 25848258553 39766551620 51696517106 79533103240 103393034212 129241292765 206786068424 258482585530 516965171060 670066394797 1033930342120 1340132789594 2680265579188 3350331973985 5360531158376 6700663947970 8710863132361 13401327895940 17421726264722 26802655791880 34843452529444 43554315661805 69686905058888 87108631323610 174217262647220 348434525294440