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1034021032 = 2311101317367
BaseRepresentation
bin111101101000011…
…110100010101000
32200001200201012021
4331220132202220
54104202133112
6250334354224
734424014402
oct7550364250
92601621167
101034021032
11490750340
1224a35b974
131362bc485
149b485b72
1560ba1907
hex3da1e8a8

1034021032 has 64 divisors (see below), whose sum is σ = 2148560640. Its totient is φ = 462624000.

The previous prime is 1034021029. The next prime is 1034021041. The reversal of 1034021032 is 2301204301.

It is a happy number.

1034021032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1034020997 and 1034021015.

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, 2817313 + ... + 2817679.

It is an arithmetic number, because the mean of its divisors is an integer number (33571260).

Almost surely, 21034021032 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 1034021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074280320).

1034021032 is an abundant number, since it is smaller than the sum of its proper divisors (1114539608).

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

1034021032 is a wasteful number, since it uses less digits than its factorization.

1034021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1034021032 is about 32156.1974120075. The cubic root of 1034021032 is about 1011.2141174865.

Adding to 1034021032 its reverse (2301204301), we get a palindrome (3335225333).

The spelling of 1034021032 in words is "one billion, thirty-four million, twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 202 317 367 404 634 734 808 1111 1268 1468 2222 2536 2936 3487 4037 4444 6974 8074 8888 13948 16148 27896 32017 32296 37067 64034 74134 116339 128068 148268 232678 256136 296536 352187 407737 465356 704374 815474 930712 1279729 1408748 1630948 2559458 2817496 3261896 5118916 10237832 11750239 23500478 47000956 94001912 129252629 258505258 517010516 1034021032