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3631013730 = 234529331467
BaseRepresentation
bin1101100001101100…
…1101111101100010
3100101001101121110000
43120123031331202
524414014414410
61400145120430
7155660051601
oct33033157542
910331347400
103631013730
1115a36813a3
12854029116
1345b34b646
14266343a38
15163b8adc0
hexd86cdf62

3631013730 has 160 divisors (see below), whose sum is σ = 10152267840. Its totient is φ = 930061440.

The previous prime is 3631013719. The next prime is 3631013741. The reversal of 3631013730 is 373101363.

It is an interprime number because it is at equal distance from previous prime (3631013719) and next prime (3631013741).

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 = 3631013694 and 3631013703.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7774957 + ... + 7775423.

It is an arithmetic number, because the mean of its divisors is an integer number (63451674).

Almost surely, 23631013730 is an apocalyptic number.

3631013730 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 3631013730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076133920).

3631013730 is an abundant number, since it is smaller than the sum of its proper divisors (6521254110).

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

3631013730 is a wasteful number, since it uses less digits than its factorization.

3631013730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 3631013730 is about 60257.8935078219. The cubic root of 3631013730 is about 1537.0074186472.

The spelling of 3631013730 in words is "three billion, six hundred thirty-one million, thirteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 331 405 435 467 522 662 783 810 870 934 993 1305 1401 1566 1655 1986 2335 2349 2610 2802 2979 3310 3915 4203 4670 4698 4965 5958 7005 7830 8406 8937 9599 9930 11745 12609 13543 14010 14895 17874 19198 21015 23490 25218 26811 27086 28797 29790 37827 40629 42030 44685 47995 53622 57594 63045 67715 75654 81258 86391 89370 95990 121887 126090 134055 135430 143985 154577 172782 189135 203145 243774 259173 268110 287970 309154 365661 378270 406290 431955 463731 518346 609435 731322 772885 777519 863910 927462 1096983 1218870 1295865 1391193 1545770 1555038 1828305 2193966 2318655 2591730 2782386 3656610 3887595 4173579 4482733 4637310 5484915 6955965 7775190 8347158 8965466 10969830 12520737 13448199 13911930 20867895 22413665 25041474 26896398 40344597 41735790 44827330 62603685 67240995 80689194 121033791 125207370 134481990 201722985 242067582 363101373 403445970 605168955 726202746 1210337910 1815506865 3631013730