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1034133144 = 233114391097
BaseRepresentation
bin111101101000111…
…001111010011000
32200001220101222120
4331220321322120
54104214230034
6250341021240
734424662302
oct7550717230
92601811876
101034133144
114908175a0
1224a3b4820
1313632b505
149b4b4972
1560bc4c49
hex3da39e98

1034133144 has 64 divisors (see below), whose sum is σ = 2885984640. Its totient is φ = 306082560.

The previous prime is 1034133143. The next prime is 1034133161. The reversal of 1034133144 is 4413314301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034133143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34197 + ... + 56900.

It is an arithmetic number, because the mean of its divisors is an integer number (45093510).

Almost surely, 21034133144 is an apocalyptic number.

It is an amenable number.

1034133144 is an abundant number, since it is smaller than the sum of its proper divisors (1851851496).

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

1034133144 is a wasteful number, since it uses less digits than its factorization.

1034133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91160 (or 91156 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1034133144 is about 32157.9406057042. The cubic root of 1034133144 is about 1011.2506625653.

Adding to 1034133144 its reverse (4413314301), we get a palindrome (5447447445).

The spelling of 1034133144 in words is "one billion, thirty-four million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 91097 182194 273291 364388 546582 728776 1002067 1093164 2004134 2186328 3006201 3917171 4008268 6012402 7834342 8016536 11751513 12024804 15668684 23503026 24049608 31337368 43088881 47006052 86177762 94012104 129266643 172355524 258533286 344711048 517066572 1034133144