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4352140240 = 2457167173269
BaseRepresentation
bin1000000110110100…
…00110001111010000
3102020022022122001021
410003122012033100
532403121441430
61555505245224
7212564403340
oct40332061720
912208278037
104352140240
111933740418
12a15633814
13544876b16
142d401ad20
151a713307a
hex1036863d0

4352140240 has 160 divisors (see below), whose sum is σ = 11744248320. Its totient is φ = 1469171712.

The previous prime is 4352140237. The next prime is 4352140279. The reversal of 4352140240 is 420412534.

It is a happy number.

It is a super-2 number, since 2×43521402402 = 37882249337254515200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16178826 + ... + 16179094.

It is an arithmetic number, because the mean of its divisors is an integer number (73401552).

Almost surely, 24352140240 is an apocalyptic number.

4352140240 is a gapful number since it is divisible by the number (40) 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 4352140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872124160).

4352140240 is an abundant number, since it is smaller than the sum of its proper divisors (7392108080).

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

4352140240 is a wasteful number, since it uses less digits than its factorization.

4352140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4352140240 is about 65970.7529136965. The cubic root of 4352140240 is about 1632.6795776898.

Adding to 4352140240 its reverse (420412534), we get a palindrome (4772552774).

The spelling of 4352140240 in words is "four billion, three hundred fifty-two million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 173 269 280 334 346 538 560 668 692 835 865 1076 1169 1211 1336 1345 1384 1670 1730 1883 2152 2338 2422 2672 2690 2768 3340 3460 3766 4304 4676 4844 5380 5845 6055 6680 6920 7532 9352 9415 9688 10760 11690 12110 13360 13840 15064 18704 18830 19376 21520 23380 24220 28891 30128 37660 44923 46537 46760 48440 57782 75320 89846 93074 93520 96880 115564 144455 150640 179692 186148 202237 224615 231128 232685 288910 314461 325759 359384 372296 404474 449230 462256 465370 577820 628922 651518 718768 744592 808948 898460 930740 1011185 1155640 1257844 1303036 1572305 1617896 1628795 1796920 1861480 2022370 2311280 2515688 2606072 3144610 3235792 3257590 3593840 3722960 4044740 5031376 5212144 6289220 6515180 7771679 8089480 12578440 13030360 15543358 16178960 25156880 26060720 31086716 38858395 54401753 62173432 77716790 108803506 124346864 155433580 217607012 272008765 310867160 435214024 544017530 621734320 870428048 1088035060 2176070120 4352140240