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1034002144 = 25712173793
BaseRepresentation
bin111101101000011…
…001111011100000
32200001122202021201
4331220121323200
54104201032034
6250334130544
734423605340
oct7550317340
92601582251
101034002144
1149073812a
1224a350a54
131362b39b6
149b47cd20
1560b9b014
hex3da19ee0

1034002144 has 48 divisors (see below), whose sum is σ = 2329030368. Its totient is φ = 442662912.

The previous prime is 1034002103. The next prime is 1034002153. The reversal of 1034002144 is 4412004301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270712 + ... + 274504.

It is an arithmetic number, because the mean of its divisors is an integer number (48521466).

Almost surely, 21034002144 is an apocalyptic number.

1034002144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1034002144 is an abundant number, since it is smaller than the sum of its proper divisors (1295028224).

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

1034002144 is a wasteful number, since it uses less digits than its factorization.

1034002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1034002144 is about 32155.9037192239. The cubic root of 1034002144 is about 1011.2079603169.

Adding to 1034002144 its reverse (4412004301), we get a palindrome (5446006445).

The spelling of 1034002144 in words is "one billion, thirty-four million, two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1217 2434 3793 4868 7586 8519 9736 15172 17038 19472 26551 30344 34076 38944 53102 60688 68152 106204 121376 136304 212408 272608 424816 849632 4616081 9232162 18464324 32312567 36928648 64625134 73857296 129250268 147714592 258500536 517001072 1034002144