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1034442432 = 263279127179
BaseRepresentation
bin111101101010000…
…101011011000000
32200002111010020200
4331222011123000
54104304124212
6250351405200
734430421102
oct7552053300
92602433220
101034442432
11490a08a01
1224a523800
1313640921a
149b555572
1560c366dc
hex3da856c0

1034442432 has 168 divisors, whose sum is σ = 3043123200. Its totient is φ = 335881728.

The previous prime is 1034442421. The next prime is 1034442473. The reversal of 1034442432 is 2342444301.

It is a happy number.

It is a super-2 number, since 2×10344424322 = 2140142290244149248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034442396 and 1034442405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5778919 + ... + 5779097.

Almost surely, 21034442432 is an apocalyptic number.

1034442432 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 1034442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521561600).

1034442432 is an abundant number, since it is smaller than the sum of its proper divisors (2008680768).

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

1034442432 is a wasteful number, since it uses less digits than its factorization.

1034442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1034442432 is about 32162.7491362290. The cubic root of 1034442432 is about 1011.3514672895.

Adding to 1034442432 its reverse (2342444301), we get a palindrome (3376886733).

The spelling of 1034442432 in words is "one billion, thirty-four million, four hundred forty-two thousand, four hundred thirty-two".