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3499940000 = 25541031699
BaseRepresentation
bin1101000010011100…
…1101100010100000
3100000220202101002102
43100213031202200
524131441040000
61335143505532
7152505666464
oct32047154240
910026671072
103499940000
1115366967a7
128181582a8
1343a14821b
14252b844a4
151573e93d5
hexd09cd8a0

3499940000 has 120 divisors (see below), whose sum is σ = 8699090400. Its totient is φ = 1385568000.

The previous prime is 3499939999. The next prime is 3499940009. The reversal of 3499940000 is 499943.

It is not an unprimeable number, because it can be changed into a prime (3499940009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2059151 + ... + 2060849.

It is an arithmetic number, because the mean of its divisors is an integer number (72492420).

Almost surely, 23499940000 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 3499940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349545200).

3499940000 is an abundant number, since it is smaller than the sum of its proper divisors (5199150400).

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

3499940000 is a wasteful number, since it uses less digits than its factorization.

3499940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 3499940000 is about 59160.2907362701. The cubic root of 3499940000 is about 1518.2858099198.

The spelling of 3499940000 in words is "three billion, four hundred ninety-nine million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 625 800 824 1000 1030 1250 1648 1699 2000 2060 2500 2575 3296 3398 4000 4120 5000 5150 6796 8240 8495 10000 10300 12875 13592 16480 16990 20000 20600 25750 27184 33980 41200 42475 51500 54368 64375 67960 82400 84950 103000 128750 135920 169900 174997 206000 212375 257500 271840 339800 349994 412000 424750 515000 679600 699988 849500 874985 1030000 1061875 1359200 1399976 1699000 1749970 2060000 2123750 2799952 3398000 3499940 4247500 4374925 5599904 6796000 6999880 8495000 8749850 13999760 16990000 17499700 21874625 27999520 33980000 34999400 43749250 69998800 87498500 109373125 139997600 174997000 218746250 349994000 437492500 699988000 874985000 1749970000 3499940000