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3344130244 = 22721329167271
BaseRepresentation
bin1100011101010011…
…0110000011000100
322122001120102021201
43013110312003010
523322044131434
61311500152244
7145604431600
oct30724660304
98561512251
103344130244
111466746604
12793b38684
13413a93ac0
1423a1c6500
151488bd614
hexc75360c4

3344130244 has 144 divisors (see below), whose sum is σ = 7657735680. Its totient is φ = 1264999680.

The previous prime is 3344130211. The next prime is 3344130247. The reversal of 3344130244 is 4420314433.

It is a super-2 number, since 2×33441302442 = 22366414177670999072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3344130247) 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, 12339829 + ... + 12340099.

It is an arithmetic number, because the mean of its divisors is an integer number (53178720).

Almost surely, 23344130244 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 3344130244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828867840).

3344130244 is an abundant number, since it is smaller than the sum of its proper divisors (4313605436).

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

3344130244 is a wasteful number, since it uses less digits than its factorization.

3344130244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3344130244 is about 57828.4553139715. The cubic root of 3344130244 is about 1495.4126881627.

Adding to 3344130244 its reverse (4420314433), we get a palindrome (7764444677).

The spelling of 3344130244 in words is "three billion, three hundred forty-four million, one hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 167 182 196 203 271 334 364 377 406 542 637 668 754 812 1084 1169 1274 1421 1508 1897 2171 2338 2548 2639 2842 3523 3794 4342 4676 4843 5278 5684 7046 7588 7859 8183 8684 9686 10556 13279 14092 15197 15718 16366 18473 19372 24661 26558 30394 31436 32732 33901 36946 45257 49322 53116 55013 60788 62959 67802 73892 90514 98644 102167 106379 110026 125918 135604 172627 181028 204334 212758 220052 237307 251836 316799 345254 385091 408668 425516 440713 474614 588341 633598 690508 715169 770182 881426 949228 1176682 1267196 1312453 1430338 1540364 1762852 2217593 2353364 2624906 2860676 3084991 4118387 4435186 5006183 5249812 6169982 8236774 8870372 9187171 10012366 12339964 16473548 17061889 18374342 20024732 28828709 34123778 36748684 57657418 64310197 68247556 115314836 119433223 128620394 238866446 257240788 477732892 836032561 1672065122 3344130244