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2031349040 = 245717379563
BaseRepresentation
bin111100100010011…
…1110110100110000
312020120100020000122
41321010332310300
513130011132130
6533322505412
7101224116260
oct17104766460
95216306018
102031349040
11952709666
12488365268
13264b023a6
14153ad97a0
15bd5062e5
hex7913ed30

2031349040 has 160 divisors (see below), whose sum is σ = 5740346880. Its totient is φ = 652603392.

The previous prime is 2031349031. The next prime is 2031349049. The reversal of 2031349040 is 409431302.

It is an interprime number because it is at equal distance from previous prime (2031349031) and next prime (2031349049).

It is not an unprimeable number, because it can be changed into a prime (2031349049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3607799 + ... + 3608361.

It is an arithmetic number, because the mean of its divisors is an integer number (35877168).

Almost surely, 22031349040 is an apocalyptic number.

2031349040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870173440).

2031349040 is an abundant number, since it is smaller than the sum of its proper divisors (3708997840).

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

2031349040 is a wasteful number, since it uses less digits than its factorization.

2031349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2031349040 is about 45070.4896800556. The cubic root of 2031349040 is about 1266.4698376832.

The spelling of 2031349040 in words is "two billion, thirty-one million, three hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 379 476 560 563 595 680 758 952 1126 1190 1360 1516 1895 1904 2252 2380 2653 2815 3032 3790 3941 4504 4760 5306 5630 6064 6443 7580 7882 9008 9520 9571 10612 11260 12886 13265 15160 15764 19142 19705 21224 22520 25772 26530 30320 31528 32215 38284 39410 42448 45040 45101 47855 51544 53060 63056 64430 66997 76568 78820 90202 95710 103088 106120 128860 133994 153136 157640 180404 191420 212240 213377 225505 257720 267988 315280 334985 360808 382840 426754 451010 515440 535976 669970 721616 765680 853508 902020 1066885 1071952 1339940 1493639 1707016 1804040 2133770 2679880 2987278 3414032 3608080 3627409 4267540 5359760 5974556 7254818 7468195 8535080 11949112 14509636 14936390 17070160 18137045 23898224 25391863 29019272 29872780 36274090 50783726 58038544 59745560 72548180 101567452 119491120 126959315 145096360 203134904 253918630 290192720 406269808 507837260 1015674520 2031349040