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34304411131320 = 23351127195897381
BaseRepresentation
bin1111100110011000111100…
…01111010101110110111000
311111110110200101122011202110
413303030132033111312320
513444020413222200240
6200543121240132320
710140261200334111
oct763143617256670
9144413611564673
1034304411131320
11aa264678511a0
123a20511a670a0
13161ab79bc6055
148684b1603208
153e750a829c80
hex1f331e3d5db8

34304411131320 has 128 divisors (see below), whose sum is σ = 112683259745280. Its totient is φ = 8285533632000.

The previous prime is 34304411131247. The next prime is 34304411131369. The reversal of 34304411131320 is 2313111440343.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 47590971 + ... + 48306410.

It is an arithmetic number, because the mean of its divisors is an integer number (880337966760).

Almost surely, 234304411131320 is an apocalyptic number.

34304411131320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34304411131320 is an abundant number, since it is smaller than the sum of its proper divisors (78378848613960).

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

34304411131320 is a wasteful number, since it uses less digits than its factorization.

34304411131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95897677 (or 95897673 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 34304411131320 its reverse (2313111440343), we get a palindrome (36617522571663).

The spelling of 34304411131320 in words is "thirty-four trillion, three hundred four billion, four hundred eleven million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 271 330 440 542 660 813 1084 1320 1355 1626 2168 2710 2981 3252 4065 5420 5962 6504 8130 8943 10840 11924 14905 16260 17886 23848 29810 32520 35772 44715 59620 71544 89430 119240 178860 357720 95897381 191794762 287692143 383589524 479486905 575384286 767179048 958973810 1054871191 1150768572 1438460715 1917947620 2109742382 2301537144 2876921430 3164613573 3835895240 4219484764 5274355955 5753842860 6329227146 8438969528 10548711910 11507685720 12658454292 15823067865 21097423820 25316908584 25988190251 31646135730 42194847640 51976380502 63292271460 77964570753 103952761004 126584542920 129940951255 155929141506 207905522008 259881902510 285870092761 311858283012 389822853765 519763805020 571740185522 623716566024 779645707530 857610278283 1039527610040 1143480371044 1429350463805 1559291415060 1715220556566 2286960742088 2858700927610 3118582830120 3430441113132 4288051391415 5717401855220 6860882226264 8576102782830 11434803710440 17152205565660 34304411131320