Search a number
-
+
349080030 = 23451333151
BaseRepresentation
bin10100110011101…
…000100111011110
3220022212002210000
4110303220213132
51203331030110
654345555130
711436063015
oct2463504736
9808762700
10349080030
1116a056aa2
1298aa5aa6
1357423540
143450ba7c
15209a61c0
hex14ce89de

349080030 has 80 divisors (see below), whose sum is σ = 1010870784. Its totient is φ = 85924800.

The previous prime is 349080019. The next prime is 349080037. The reversal of 349080030 is 30080943.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 349079976 and 349080003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349080037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6046 + ... + 27105.

Almost surely, 2349080030 is an apocalyptic number.

349080030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349080030 is an abundant number, since it is smaller than the sum of its proper divisors (661790754).

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

349080030 is a wasteful number, since it uses less digits than its factorization.

349080030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33183 (or 33174 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 349080030 is about 18683.6835233313. The cubic root of 349080030 is about 704.1118739543. Note that the first 3 decimals are identical.

The spelling of 349080030 in words is "three hundred forty-nine million, eighty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 33151 66302 99453 165755 198906 298359 331510 430963 497265 596718 861926 895077 994530 1292889 1491795 1790154 2154815 2585778 2685231 2983590 3878667 4309630 4475385 5370462 6464445 7757334 8950770 11636001 12928890 13426155 19393335 23272002 26852310 34908003 38786670 58180005 69816006 116360010 174540015 349080030