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3499306240 = 2854316343
BaseRepresentation
bin1101000010010011…
…0010110100000000
3100000212120011201211
43100210302310000
524131310244430
61335122135504
7152500420003
oct32044626400
910025504654
103499306240
1115362a3631
12817ab1594
13439c85911
14252a5b53a
1515732172a
hexd0932d00

3499306240 has 72 divisors (see below), whose sum is σ = 8402704128. Its totient is φ = 1396254720.

The previous prime is 3499306169. The next prime is 3499306259. The reversal of 3499306240 is 426039943.

It is a super-2 number, since 2×34993062402 = 24490288322605875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3499306193 and 3499306202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 548509 + ... + 554851.

It is an arithmetic number, because the mean of its divisors is an integer number (116704224).

Almost surely, 23499306240 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 3499306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201352064).

3499306240 is an abundant number, since it is smaller than the sum of its proper divisors (4903397888).

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

3499306240 is an equidigital number, since it uses as much as digits as its factorization.

3499306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 3499306240 is about 59154.9341982560. The cubic root of 3499306240 is about 1518.1941619772.

The spelling of 3499306240 in words is "three billion, four hundred ninety-nine million, three hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 431 640 862 1280 1724 2155 3448 4310 6343 6896 8620 12686 13792 17240 25372 27584 31715 34480 50744 55168 63430 68960 101488 110336 126860 137920 202976 253720 275840 405952 507440 551680 811904 1014880 1623808 2029760 2733833 4059520 5467666 8119040 10935332 13669165 21870664 27338330 43741328 54676660 87482656 109353320 174965312 218706640 349930624 437413280 699861248 874826560 1749653120 3499306240