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3944300130 = 2335234314771
BaseRepresentation
bin1110101100011001…
…0011111001100010
3101011212220012121000
43223012103321202
531034220101010
61451220012430
7166512666201
oct35306237142
911155805530
103944300130
111744500081
12920b31116
134ab21bb04
14295bb5238
151814217c0
hexeb193e62

3944300130 has 128 divisors (see below), whose sum is σ = 11231447040. Its totient is φ = 982618560.

The previous prime is 3944300119. The next prime is 3944300147. The reversal of 3944300130 is 310034493.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3944300094 and 3944300103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259645 + ... + 274415.

It is an arithmetic number, because the mean of its divisors is an integer number (87745680).

Almost surely, 23944300130 is an apocalyptic number.

3944300130 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 3944300130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615723520).

3944300130 is an abundant number, since it is smaller than the sum of its proper divisors (7287146910).

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

3944300130 is a wasteful number, since it uses less digits than its factorization.

3944300130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14853 (or 14847 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3944300130 is about 62803.6633485659. The cubic root of 3944300130 is about 1579.9984150494.

The spelling of 3944300130 in words is "three billion, nine hundred forty-four million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 43 45 46 54 69 86 90 115 129 135 138 207 215 230 258 270 345 387 414 430 621 645 690 774 989 1035 1161 1242 1290 1935 1978 2070 2322 2967 3105 3870 4945 5805 5934 6210 8901 9890 11610 14771 14835 17802 26703 29542 29670 44313 44505 53406 73855 88626 89010 132939 133515 147710 221565 265878 267030 339733 398817 443130 635153 664695 679466 797634 1019199 1270306 1329390 1698665 1905459 1994085 2038398 3057597 3175765 3397330 3810918 3988170 5095995 5716377 6115194 6351530 9172791 9527295 10191990 11432754 14608519 15287985 17149131 18345582 19054590 28581885 29217038 30575970 34298262 43825557 45863955 57163770 73042595 85745655 87651114 91727910 131476671 146085190 171491310 219127785 262953342 394430013 438255570 657383355 788860026 1314766710 1972150065 3944300130