Search a number
-
+
1035052304 = 2411133114593
BaseRepresentation
bin111101101100011…
…010010100010000
32200010122002211112
4331230122110100
54104433133204
6250412432452
734435541126
oct7554322420
92603562745
101035052304
11491295130
1224a778728
131365909b0
149b673916
1560d0726e
hex3db1a510

1035052304 has 80 divisors (see below), whose sum is σ = 2432177664. Its totient is φ = 420249600.

The previous prime is 1035052297. The next prime is 1035052313. The reversal of 1035052304 is 4032505301.

It is a self number, because there is not a number n which added to its sum of digits gives 1035052304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63632 + ... + 78224.

Almost surely, 21035052304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035052304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216088832).

1035052304 is an abundant number, since it is smaller than the sum of its proper divisors (1397125360).

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

1035052304 is a wasteful number, since it uses less digits than its factorization.

1035052304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14656 (or 14650 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1035052304 is about 32172.2287695459. The cubic root of 1035052304 is about 1011.5501810278.

Adding to 1035052304 its reverse (4032505301), we get a palindrome (5067557605).

The spelling of 1035052304 in words is "one billion, thirty-five million, fifty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1364 1612 2288 2728 3224 4433 5456 6448 8866 14593 17732 29186 35464 58372 70928 116744 160523 189709 233488 321046 379418 452383 642092 758836 904766 1284184 1517672 1809532 2086799 2568368 3035344 3619064 4173598 4976213 5880979 7238128 8347196 9952426 11761958 16694392 19904852 23523916 33388784 39809704 47047832 64690769 79619408 94095664 129381538 258763076 517526152 1035052304