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3437000490 = 2357114731657
BaseRepresentation
bin1100110011011100…
…0111011100101010
322212112022201022110
43030313013130222
524014333003430
61325014503150
7151113010410
oct31467073452
98775281273
103437000490
111504108380
127bb064ab6
1342a0ac301
1424867d2b0
15151b157b0
hexccdc772a

3437000490 has 128 divisors (see below), whose sum is σ = 10503364608. Its totient is φ = 698964480.

The previous prime is 3437000431. The next prime is 3437000503. The reversal of 3437000490 is 940007343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92742 + ... + 124398.

It is an arithmetic number, because the mean of its divisors is an integer number (82057536).

Almost surely, 23437000490 is an apocalyptic number.

3437000490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3437000490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251682304).

3437000490 is an abundant number, since it is smaller than the sum of its proper divisors (7066364118).

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

3437000490 is a wasteful number, since it uses less digits than its factorization.

3437000490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31732.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3437000490 is about 58625.9370074372. The cubic root of 3437000490 is about 1509.1295789048.

The spelling of 3437000490 in words is "three billion, four hundred thirty-seven million, four hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 47 55 66 70 77 94 105 110 141 154 165 210 231 235 282 329 330 385 462 470 517 658 705 770 987 1034 1155 1410 1551 1645 1974 2310 2585 3102 3290 3619 4935 5170 7238 7755 9870 10857 15510 18095 21714 31657 36190 54285 63314 94971 108570 158285 189942 221599 316570 348227 443198 474855 664797 696454 949710 1044681 1107995 1329594 1487879 1741135 2089362 2215990 2437589 2975758 3323985 3482270 4463637 4875178 5223405 6647970 7312767 7439395 8927274 10415153 10446810 12187945 14625534 14878790 16366669 20830306 22318185 24375890 31245459 32733338 36563835 44636370 49100007 52075765 62490918 73127670 81833345 98200014 104151530 114566683 156227295 163666690 229133366 245500035 312454590 343700049 491000070 572833415 687400098 1145666830 1718500245 3437000490