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3499145820 = 22325412511889
BaseRepresentation
bin1101000010010000…
…1011101001011100
3100000212021000200100
43100210023221130
524131240131240
61335114501100
7152466151212
oct32044135134
910025230610
103499145820
1115361a4055
12817a34790
13439c2a8b1
14252a18cb2
151572dde30
hexd090ba5c

3499145820 has 144 divisors (see below), whose sum is σ = 10922052960. Its totient is φ = 906240000.

The previous prime is 3499145809. The next prime is 3499145827. The reversal of 3499145820 is 285419943.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3499145827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1851436 + ... + 1853324.

It is an arithmetic number, because the mean of its divisors is an integer number (75847590).

Almost surely, 23499145820 is an apocalyptic number.

3499145820 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 3499145820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461026480).

3499145820 is an abundant number, since it is smaller than the sum of its proper divisors (7422907140).

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

3499145820 is a wasteful number, since it uses less digits than its factorization.

3499145820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3499145820 is about 59153.5782518691. The cubic root of 3499145820 is about 1518.1709619091.

The spelling of 3499145820 in words is "three billion, four hundred ninety-nine million, one hundred forty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 251 369 410 492 502 615 738 753 820 1004 1230 1255 1476 1506 1845 1889 2259 2460 2510 3012 3690 3765 3778 4518 5020 5667 7380 7530 7556 9036 9445 10291 11295 11334 15060 17001 18890 20582 22590 22668 28335 30873 34002 37780 41164 45180 51455 56670 61746 68004 77449 85005 92619 102910 113340 123492 154365 154898 170010 185238 205820 232347 308730 309796 340020 370476 387245 463095 464694 474139 617460 697041 774490 926190 929388 948278 1161735 1394082 1422417 1548980 1852380 1896556 2323470 2370695 2788164 2844834 3485205 4267251 4646940 4741390 5689668 6970410 7112085 8534502 9482780 13940820 14224170 17069004 19439699 21336255 28448340 38879398 42672510 58319097 77758796 85345020 97198495 116638194 174957291 194396990 233276388 291595485 349914582 388793980 583190970 699829164 874786455 1166381940 1749572910 3499145820