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1034452944 = 24357191199
BaseRepresentation
bin111101101010000…
…111111111010000
32200002111122200000
4331222013333100
54104304443234
6250351530000
734430463540
oct7552077720
92602448600
101034452944
11490a15898
1224a529900
13136410c45
149b559320
1560c39899
hex3da87fd0

1034452944 has 240 divisors, whose sum is σ = 3466444800. Its totient is φ = 292533120.

The previous prime is 1034452933. The next prime is 1034452961. The reversal of 1034452944 is 4492544301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1034452899 and 1034452908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5198157 + ... + 5198355.

It is an arithmetic number, because the mean of its divisors is an integer number (14443520).

Almost surely, 21034452944 is an apocalyptic number.

1034452944 is a gapful number since it is divisible by the number (14) 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 1034452944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733222400).

1034452944 is an abundant number, since it is smaller than the sum of its proper divisors (2431991856).

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

1034452944 is a wasteful number, since it uses less digits than its factorization.

1034452944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1034452944 is about 32162.9125546801. The cubic root of 1034452944 is about 1011.3548930612.

The spelling of 1034452944 in words is "one billion, thirty-four million, four hundred fifty-two thousand, nine hundred forty-four".