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3083850240 = 29353112953
BaseRepresentation
bin1011011111001111…
…1101001000000000
321221220210211020120
42313303331020000
522303431201430
61230001340240
7136264203012
oct26763751000
97856724216
103083850240
111342831369
12720937680
133a1b92273
142137d21b2
15130b08610
hexb7cfd200

3083850240 has 160 divisors (see below), whose sum is σ = 10177491456. Its totient is φ = 795770880.

The previous prime is 3083850239. The next prime is 3083850251. The reversal of 3083850240 is 420583803.

3083850240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231604 + ... + 244556.

Almost surely, 23083850240 is an apocalyptic number.

3083850240 is a gapful number since it is divisible by the number (30) 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 3083850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088745728).

3083850240 is an abundant number, since it is smaller than the sum of its proper divisors (7093641216).

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

3083850240 is a wasteful number, since it uses less digits than its factorization.

3083850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13010 (or 12994 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3083850240 is about 55532.4251226254. The cubic root of 3083850240 is about 1455.5632872922.

The spelling of 3083850240 in words is "three billion, eighty-three million, eight hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 512 620 640 744 768 930 960 992 1240 1280 1488 1536 1860 1920 1984 2480 2560 2976 3720 3840 3968 4960 5952 7440 7680 7936 9920 11904 12953 14880 15872 19840 23808 25906 29760 38859 39680 47616 51812 59520 64765 77718 79360 103624 119040 129530 155436 194295 207248 238080 259060 310872 388590 401543 414496 518120 621744 777180 803086 828992 1036240 1204629 1243488 1554360 1606172 1657984 2007715 2072480 2409258 2486976 3108720 3212344 3315968 4015430 4144960 4818516 4973952 6023145 6217440 6424688 6631936 8030860 8289920 9637032 9947904 12046290 12434880 12849376 16061720 16579840 19274064 19895808 24092580 24869760 25698752 32123440 33159680 38548128 48185160 49739520 51397504 64246880 77096256 96370320 99479040 102795008 128493760 154192512 192740640 205590016 256987520 308385024 385481280 513975040 616770048 770962560 1027950080 1541925120 3083850240