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344011401300 = 223527792073607
BaseRepresentation
bin1010000000110001010…
…11010110100001010100
31012212221202010212100010
411000120223112201110
521114013404320200
6422011530120220
733565631443560
oct5003053264124
91185852125303
10344011401300
11122992516526
1256808880070
1326594c951b8
14129163906a0
158e3641e150
hex5018ad6854

344011401300 has 144 divisors (see below), whose sum is σ = 1151930716160. Its totient is φ = 77635808640.

The previous prime is 344011401271. The next prime is 344011401301. The reversal of 344011401300 is 3104110443.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344011401301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870904 + ... + 1202703.

Almost surely, 2344011401300 is an apocalyptic number.

344011401300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344011401300 is an abundant number, since it is smaller than the sum of its proper divisors (807919314860).

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

344011401300 is a wasteful number, since it uses less digits than its factorization.

344011401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073710 (or 2073703 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 344011401300 its reverse (3104110443), we get a palindrome (347115511743).

The spelling of 344011401300 in words is "three hundred forty-four billion, eleven million, four hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 79 84 100 105 140 150 158 175 210 237 300 316 350 395 420 474 525 553 700 790 948 1050 1106 1185 1580 1659 1975 2100 2212 2370 2765 3318 3950 4740 5530 5925 6636 7900 8295 11060 11850 13825 16590 23700 27650 33180 41475 55300 82950 165900 2073607 4147214 6220821 8294428 10368035 12441642 14515249 20736070 24883284 29030498 31104105 41472140 43545747 51840175 58060996 62208210 72576245 87091494 103680350 124416420 145152490 155520525 163814953 174182988 207360700 217728735 290304980 311041050 327629906 362881225 435457470 491444859 622082100 655259812 725762450 819074765 870914940 982889718 1088643675 1146704671 1451524900 1638149530 1965779436 2177287350 2293409342 2457224295 3276299060 3440114013 4095373825 4354574700 4586818684 4914448590 5733523355 6880228026 8190747650 9828897180 11467046710 12286121475 13760456052 16381495300 17200570065 22934093420 24572242950 28667616775 34401140130 49144485900 57335233550 68802280260 86002850325 114670467100 172005700650 344011401300