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1034432124 = 22311192771489
BaseRepresentation
bin111101101010000…
…010111001111100
32200002110121002220
4331222002321330
54104303311444
6250351245340
734430346045
oct7552027174
92602417086
101034432124
11490a01190
1224a519850
1313640461b
149b5518cc
1560c33619
hex3da82e7c

1034432124 has 96 divisors (see below), whose sum is σ = 2783558400. Its totient is φ = 295695360.

The previous prime is 1034432089. The next prime is 1034432129. The reversal of 1034432124 is 4212344301.

It is a junction number, because it is equal to n+sod(n) for n = 1034432094 and 1034432103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034432129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693972 + ... + 695460.

It is an arithmetic number, because the mean of its divisors is an integer number (28995400).

Almost surely, 21034432124 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 1034432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391779200).

1034432124 is an abundant number, since it is smaller than the sum of its proper divisors (1749126276).

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

1034432124 is a wasteful number, since it uses less digits than its factorization.

1034432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1034432124 is about 32162.5888883342. The cubic root of 1034432124 is about 1011.3481079772.

Adding to 1034432124 its reverse (4212344301), we get a palindrome (5246776425).

The spelling of 1034432124 in words is "one billion, thirty-four million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 277 418 554 627 831 836 1108 1254 1489 1662 2508 2978 3047 3324 4467 5263 5956 6094 8934 9141 10526 12188 15789 16379 17868 18282 21052 28291 31578 32758 36564 49137 56582 57893 63156 65516 84873 98274 113164 115786 169746 173679 196548 231572 311201 339492 347358 412453 622402 694716 824906 933603 1237359 1244804 1649812 1867206 2474718 3734412 4536983 4949436 7836607 9073966 13610949 15673214 18147932 23509821 27221898 31346428 47019642 54443796 86202677 94039284 172405354 258608031 344810708 517216062 1034432124