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1034074000 = 24531912707
BaseRepresentation
bin111101101000101…
…011011110010000
32200001210101212001
4331220223132100
54104210332000
6250335443344
734424325001
oct7550533620
92601711761
101034074000
11490787113
1224a386554
1313630a60b
149b49b1a8
1560bb246a
hex3da2b790

1034074000 has 80 divisors (see below), whose sum is σ = 2514410496. Its totient is φ = 411312000.

The previous prime is 1034073979. The next prime is 1034074007. The reversal of 1034074000 is 4704301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1034074007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380647 + ... + 383353.

Almost surely, 21034074000 is an apocalyptic number.

1034074000 is a gapful number since it is divisible by the number (10) 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 1034074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257205248).

1034074000 is an abundant number, since it is smaller than the sum of its proper divisors (1480336496).

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

1034074000 is a wasteful number, since it uses less digits than its factorization.

1034074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 1034074000 is about 32157.0210063059. The cubic root of 1034074000 is about 1011.2313837616.

Adding to 1034074000 its reverse (4704301), we get a palindrome (1038778301).

The spelling of 1034074000 in words is "one billion, thirty-four million, seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 191 200 250 382 400 500 764 955 1000 1528 1910 2000 2707 3056 3820 4775 5414 7640 9550 10828 13535 15280 19100 21656 23875 27070 38200 43312 47750 54140 67675 76400 95500 108280 135350 191000 216560 270700 338375 382000 517037 541400 676750 1034074 1082800 1353500 2068148 2585185 2707000 4136296 5170370 5414000 8272592 10340740 12925925 20681480 25851850 41362960 51703700 64629625 103407400 129259250 206814800 258518500 517037000 1034074000