Search a number
-
+
1035314406 = 23373537759
BaseRepresentation
bin111101101101011…
…010010011100110
32200011010102101000
4331231122103212
54110020030111
6250422214130
734441012230
oct7555322346
92604112330
101035314406
11491454045
1224a884346
13136653099
149b701250
1560d59c56
hex3db5a4e6

1035314406 has 64 divisors (see below), whose sum is σ = 2637158400. Its totient is φ = 294928128.

The previous prime is 1035314381. The next prime is 1035314417. The reversal of 1035314406 is 6044135301.

It is a super-2 number, since 2×10353144062 = 2143751838542265672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1035314406.

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, 129555 + ... + 137313.

It is an arithmetic number, because the mean of its divisors is an integer number (41205600).

Almost surely, 21035314406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035314406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318579200).

1035314406 is an abundant number, since it is smaller than the sum of its proper divisors (1601843994).

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

1035314406 is a wasteful number, since it uses less digits than its factorization.

1035314406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1035314406 is about 32176.3019317012. The cubic root of 1035314406 is about 1011.6355573733.

Adding to 1035314406 its reverse (6044135301), we get a palindrome (7079449707).

The spelling of 1035314406 in words is "one billion, thirty-five million, three hundred fourteen thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 353 378 706 1059 2118 2471 3177 4942 6354 7413 7759 9531 14826 15518 19062 22239 23277 44478 46554 54313 66717 69831 108626 133434 139662 162939 209493 325878 418986 488817 977634 1466451 2738927 2932902 5477854 8216781 16433562 19172489 24650343 38344978 49300686 57517467 73951029 115034934 147902058 172552401 345104802 517657203 1035314406