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3320042240 = 2854121543
BaseRepresentation
bin1100010111100011…
…1101001100000000
322120101020121202102
43011320331030000
523244412322430
61305240005532
7145162615304
oct30570751400
98511217672
103320042240
111454093969
12787a608a8
1340baaba48
14236d15d04
15146711345
hexc5e3d300

3320042240 has 108 divisors (see below), whose sum is σ = 8156516592. Its totient is φ = 1294786560.

The previous prime is 3320042221. The next prime is 3320042261. The reversal of 3320042240 is 422400233.

It is a super-2 number, since 2×33200422402 = 22045360950768435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2150909 + ... + 2152451.

Almost surely, 23320042240 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 3320042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078258296).

3320042240 is an abundant number, since it is smaller than the sum of its proper divisors (4836474352).

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

3320042240 is an equidigital number, since it uses as much as digits as its factorization.

3320042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3320042240 is about 57619.8077053369. The cubic root of 3320042240 is about 1491.8135118518.

Adding to 3320042240 its reverse (422400233), we get a palindrome (3742442473).

The spelling of 3320042240 in words is "three billion, three hundred twenty million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1543 1640 1681 2624 3086 3280 3362 5248 6172 6560 6724 7715 8405 10496 12344 13120 13448 15430 16810 24688 26240 26896 30860 33620 49376 52480 53792 61720 63263 67240 98752 107584 123440 126526 134480 197504 215168 246880 253052 268960 316315 395008 430336 493760 506104 537920 632630 987520 1012208 1075840 1265260 1975040 2024416 2151680 2530520 2593783 4048832 5061040 5187566 8097664 10122080 10375132 12968915 16195328 20244160 20750264 25937830 40488320 41500528 51875660 80976640 83001056 103751320 166002112 207502640 332004224 415005280 664008448 830010560 1660021120 3320042240