Search a number
-
+
3420141000 = 233537116057
BaseRepresentation
bin1100101111011011…
…0011010111001000
322211100121011102220
43023312303113020
524001024003000
61323213254040
7150516501363
oct31366632710
98740534386
103420141000
1114a5642611
127b5494320
13426758493
142463310da
151503d51a0
hexcbdb35c8

3420141000 has 128 divisors (see below), whose sum is σ = 10821807360. Its totient is φ = 899136000.

The previous prime is 3420140987. The next prime is 3420141001. The reversal of 3420141000 is 1410243.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3420141001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204972 + ... + 221028.

It is an arithmetic number, because the mean of its divisors is an integer number (84545370).

Almost surely, 23420141000 is an apocalyptic number.

3420141000 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 3420141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410903680).

3420141000 is an abundant number, since it is smaller than the sum of its proper divisors (7401666360).

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

3420141000 is a wasteful number, since it uses less digits than its factorization.

3420141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16152 (or 16138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3420141000 is about 58481.9715809924. The cubic root of 3420141000 is about 1506.6579595480.

Adding to 3420141000 its reverse (1410243), we get a palindrome (3421551243).

The spelling of 3420141000 in words is "three billion, four hundred twenty million, one hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 710 750 852 1000 1065 1420 1500 1704 1775 2130 2840 3000 3550 4260 5325 7100 8520 8875 10650 14200 16057 17750 21300 26625 32114 35500 42600 48171 53250 64228 71000 80285 96342 106500 128456 160570 192684 213000 240855 321140 385368 401425 481710 642280 802850 963420 1140047 1204275 1605700 1926840 2007125 2280094 2408550 3211400 3420141 4014250 4560188 4817100 5700235 6021375 6840282 8028500 9120376 9634200 11400470 12042750 13680564 16057000 17100705 22800940 24085500 27361128 28501175 34201410 45601880 48171000 57002350 68402820 85503525 114004700 136805640 142505875 171007050 228009400 285011750 342014100 427517625 570023500 684028200 855035250 1140047000 1710070500 3420141000