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1034513532 = 223413793109
BaseRepresentation
bin111101101010010…
…110110001111100
32200002121201210000
4331222112301330
54104313413112
6250353114300
734431135303
oct7552266174
92602551700
101034513532
11490a57368
1224a558990
131364326b0
149b57343a
1560c4c7dc
hex3da96c7c

1034513532 has 120 divisors (see below), whose sum is σ = 2950270400. Its totient is φ = 314181504.

The previous prime is 1034513507. The next prime is 1034513551. The reversal of 1034513532 is 2353154301.

It is a super-2 number, since 2×10345135322 = 2140436495782230048, which contains 22 as substring.

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 = 1034513496 and 1034513505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 331194 + ... + 334302.

Almost surely, 21034513532 is an apocalyptic number.

1034513532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034513532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475135200).

1034513532 is an abundant number, since it is smaller than the sum of its proper divisors (1915756868).

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

1034513532 is a wasteful number, since it uses less digits than its factorization.

1034513532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1034513532 is about 32163.8544331988. The cubic root of 1034513532 is about 1011.3746377241.

Adding to 1034513532 its reverse (2353154301), we get a palindrome (3387667833).

The spelling of 1034513532 in words is "one billion, thirty-four million, five hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 79 81 108 117 156 158 162 234 237 316 324 351 468 474 702 711 948 1027 1053 1404 1422 2054 2106 2133 2844 3081 3109 4108 4212 4266 6162 6218 6399 8532 9243 9327 12324 12436 12798 18486 18654 25596 27729 27981 36972 37308 40417 55458 55962 80834 83187 83943 110916 111924 121251 161668 166374 167886 242502 245611 251829 332748 335772 363753 485004 491222 503658 727506 736833 982444 1007316 1091259 1455012 1473666 2182518 2210499 2947332 3192943 3273777 4365036 4420998 6385886 6547554 6631497 8841996 9578829 12771772 13095108 13262994 19157658 19894491 26525988 28736487 38315316 39788982 57472974 79577964 86209461 114945948 172418922 258628383 344837844 517256766 1034513532