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34321264367780 = 22513263552190911
BaseRepresentation
bin1111100110111000010101…
…10001010101100010100100
311111112002011220222021221102
413303130022301111202210
513444304422134232110
6200554545435335232
710141425632435225
oct763341261254244
9144462156867842
1034321264367780
11aa32625a89195
123a23835bb1518
13161c634681710
1486922d9db24c
153e7b951b15a5
hex1f370ac558a4

34321264367780 has 96 divisors (see below), whose sum is σ = 77928957646848. Its totient is φ = 12621857126400.

The previous prime is 34321264367737. The next prime is 34321264367783. The reversal of 34321264367780 is 8776346212343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34321264367783) 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, 377480525 + ... + 377571435.

It is an arithmetic number, because the mean of its divisors is an integer number (811759975488).

Almost surely, 234321264367780 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 34321264367780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38964478823424).

34321264367780 is an abundant number, since it is smaller than the sum of its proper divisors (43607693279068).

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

34321264367780 is a wasteful number, since it uses less digits than its factorization.

34321264367780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96717 (or 96715 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 56.

The spelling of 34321264367780 in words is "thirty-four trillion, three hundred twenty-one billion, two hundred sixty-four million, three hundred sixty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 263 526 1052 1315 2630 3419 5260 5521 6838 11042 13676 17095 22084 27605 34190 55210 68380 71773 90911 110420 143546 181822 287092 358865 363644 454555 717730 909110 1181843 1435460 1452023 1818220 2363686 2904046 4727372 5808092 5909215 7260115 11818430 14520230 18876299 23636860 23909593 29040460 37752598 47819186 75505196 94381495 95638372 119547965 188762990 239095930 310824709 377525980 478191860 501919631 621649418 1003839262 1243298836 1554123545 2007678524 2509598155 3108247090 5019196310 6216494180 6524955203 10038392620 13049910406 26099820812 32624776015 65249552030 130499104060 132004862953 264009725906 528019451812 660024314765 1320048629530 1716063218389 2640097259060 3432126436778 6864252873556 8580316091945 17160632183890 34321264367780