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3412120040 = 235741833581
BaseRepresentation
bin1100101101100000…
…1101000111101000
322210210111122202022
43023120031013220
523442000320130
61322325324012
7150361353560
oct31330150750
98723448668
103412120040
1114a106431a
127b2866608
13424baa654
14245243da0
1514e84d7e5
hexcb60d1e8

3412120040 has 128 divisors (see below), whose sum is σ = 9098853120. Its totient is φ = 1127270400.

The previous prime is 3412120039. The next prime is 3412120097. The reversal of 3412120040 is 400212143.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951050 + ... + 954630.

It is an arithmetic number, because the mean of its divisors is an integer number (71084790).

Almost surely, 23412120040 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 3412120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549426560).

3412120040 is an abundant number, since it is smaller than the sum of its proper divisors (5686733080).

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

3412120040 is a wasteful number, since it uses less digits than its factorization.

3412120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3412120040 is about 58413.3549798332. The cubic root of 3412120040 is about 1505.4792262021.

Adding to 3412120040 its reverse (400212143), we get a palindrome (3812332183).

The spelling of 3412120040 in words is "three billion, four hundred twelve million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 83 140 164 166 205 280 287 328 332 410 415 574 581 664 820 830 1148 1162 1435 1640 1660 2296 2324 2870 2905 3320 3403 3581 4648 5740 5810 6806 7162 11480 11620 13612 14324 17015 17905 23240 23821 25067 27224 28648 34030 35810 47642 50134 68060 71620 95284 100268 119105 125335 136120 143240 146821 190568 200536 238210 250670 293642 297223 476420 501340 587284 594446 734105 952840 1002680 1027747 1174568 1188892 1468210 1486115 2055494 2080561 2377784 2936420 2972230 4110988 4161122 5138735 5872840 5944460 8221976 8322244 10277470 10402805 11888920 12186143 16644488 20554940 20805610 24372286 41109880 41611220 48744572 60930715 83222440 85303001 97489144 121861430 170606002 243722860 341212004 426515005 487445720 682424008 853030010 1706060020 3412120040