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34444043370 = 23351140128921
BaseRepresentation
bin100000000101000001…
…100110010001101010
310021220110112200211000
4200011001212101222
51031020133341440
623453503215430
72326361352342
oct400501462152
9107813480730
1034444043370
1113675845650
1268132a7576
13332bca9169
14194a749d22
15d68d62730
hex80506646a

34444043370 has 128 divisors (see below), whose sum is σ = 100454204160. Its totient is φ = 8328960000.

The previous prime is 34444043351. The next prime is 34444043377. The reversal of 34444043370 is 7334044443.

It is not an unprimeable number, because it can be changed into a prime (34444043377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1176510 + ... + 1205430.

It is an arithmetic number, because the mean of its divisors is an integer number (784798470).

Almost surely, 234444043370 is an apocalyptic number.

34444043370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34444043370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50227102080).

34444043370 is an abundant number, since it is smaller than the sum of its proper divisors (66010160790).

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

34444043370 is a wasteful number, since it uses less digits than its factorization.

34444043370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29349 (or 29343 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The spelling of 34444043370 in words is "thirty-four billion, four hundred forty-four million, forty-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 401 495 594 802 990 1203 1485 2005 2406 2970 3609 4010 4411 6015 7218 8822 10827 12030 13233 18045 21654 22055 26466 28921 36090 39699 44110 54135 57842 66165 79398 86763 108270 119097 132330 144605 173526 198495 238194 260289 289210 318131 396990 433815 520578 595485 636262 780867 867630 954393 1190970 1301445 1561734 1590655 1908786 2602890 2863179 3181310 3904335 4771965 5726358 7808670 8589537 9543930 11597321 14315895 17179074 23194642 28631790 34791963 42947685 57986605 69583926 85895370 104375889 115973210 127570531 173959815 208751778 255141062 313127667 347919630 382711593 521879445 626255334 637852655 765423186 1043758890 1148134779 1275705310 1565638335 1913557965 2296269558 3131276670 3444404337 3827115930 5740673895 6888808674 11481347790 17222021685 34444043370