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3034106244 = 22321347271509
BaseRepresentation
bin1011010011011000…
…1100100110000100
321211110012120022100
42310312030212010
522203212344434
61221023232100
7135121322541
oct26466144604
97743176270
103034106244
111317745a24
12708148630
13394796550
1420ad63bc8
1512b57e699
hexb4d8c984

3034106244 has 144 divisors (see below), whose sum is σ = 8483005440. Its totient is φ = 908547840.

The previous prime is 3034106213. The next prime is 3034106303. The reversal of 3034106244 is 4426014303.

3034106244 is a `hidden beast` number, since 3 + 0 + 3 + 410 + 6 + 244 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5960662 + ... + 5961170.

It is an arithmetic number, because the mean of its divisors is an integer number (58909760).

Almost surely, 23034106244 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 3034106244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241502720).

3034106244 is an abundant number, since it is smaller than the sum of its proper divisors (5448899196).

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

3034106244 is a wasteful number, since it uses less digits than its factorization.

3034106244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3034106244 is about 55082.7218281740. The cubic root of 3034106244 is about 1447.6945120586.

It can be divided in two parts, 3034 and 106244, that added together give a triangular number (109278 = T467).

The spelling of 3034106244 in words is "three billion, thirty-four million, one hundred six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 271 282 423 468 509 542 564 611 813 846 1018 1084 1222 1527 1626 1692 1833 2036 2439 2444 3054 3252 3523 3666 4581 4878 5499 6108 6617 7046 7332 9162 9756 10569 10998 12737 13234 14092 18324 19851 21138 21996 23923 25474 26468 31707 38211 39702 42276 47846 50948 59553 63414 71769 76422 79404 95692 114633 119106 126828 137939 143538 152844 165581 215307 229266 238212 275878 287076 310999 331162 413817 430614 458532 496743 551756 621998 662324 827634 861228 932997 993486 1241451 1243996 1490229 1655268 1793207 1865994 1986972 2482902 2798991 2980458 3586414 3731988 4965804 5379621 5597982 5960916 6483133 7172828 10759242 11195964 12966266 16138863 19449399 21518484 25932532 32277726 38898798 58348197 64555452 77797596 84280729 116696394 168561458 233392788 252842187 337122916 505684374 758526561 1011368748 1517053122 3034106244