Search a number
-
+
3394433310 = 2351097871319
BaseRepresentation
bin1100101001010010…
…1111000100011110
322202120020002010020
43022110233010132
523422433331220
61320454253010
7150055131012
oct31224570436
98676202106
103394433310
111492083a94
127a8957166
13421327128
14242b5c542
1514d008040
hexca52f11e

3394433310 has 64 divisors (see below), whose sum is σ = 8238067200. Its totient is φ = 895059072.

The previous prime is 3394433309. The next prime is 3394433347. The reversal of 3394433310 is 133344933.

3394433310 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×33944333103 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2572831 + ... + 2574149.

It is an arithmetic number, because the mean of its divisors is an integer number (128719800).

Almost surely, 23394433310 is an apocalyptic number.

3394433310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3394433310 is an abundant number, since it is smaller than the sum of its proper divisors (4843633890).

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

3394433310 is a wasteful number, since it uses less digits than its factorization.

3394433310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225.

The product of its (nonzero) digits is 34992, while the sum is 33.

The square root of 3394433310 is about 58261.7654212435. The cubic root of 3394433310 is about 1502.8735007030.

The spelling of 3394433310 in words is "three billion, three hundred ninety-four million, four hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 109 218 327 545 654 787 1090 1319 1574 1635 2361 2638 3270 3935 3957 4722 6595 7870 7914 11805 13190 19785 23610 39570 85783 143771 171566 257349 287542 428915 431313 514698 718855 857830 862626 1038053 1286745 1437710 2076106 2156565 2573490 3114159 4313130 5190265 6228318 10380530 15570795 31141590 113147777 226295554 339443331 565738885 678886662 1131477770 1697216655 3394433310