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1234008116 = 2211295371257
BaseRepresentation
bin100100110001101…
…0111100000110100
310012000000002220022
41021203113200310
510011401224431
6322241024312
742402616205
oct11143274064
93160002808
101234008116
11583624620
122a5325098
13168870923
14b9c635ac
157350707b
hex498d7834

1234008116 has 96 divisors (see below), whose sum is σ = 2527822080. Its totient is φ = 521830400.

The previous prime is 1234008091. The next prime is 1234008151. The reversal of 1234008116 is 6118004321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4801460 + ... + 4801716.

It is an arithmetic number, because the mean of its divisors is an integer number (26331480).

Almost surely, 21234008116 is an apocalyptic number.

It is an amenable number.

1234008116 is an abundant number, since it is smaller than the sum of its proper divisors (1293813964).

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

1234008116 is a wasteful number, since it uses less digits than its factorization.

1234008116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1234008116 is about 35128.4516595878. The cubic root of 1234008116 is about 1072.6038183723.

The spelling of 1234008116 in words is "one billion, two hundred thirty-four million, eight thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 29 44 53 58 71 106 116 142 212 257 284 319 514 583 638 781 1028 1166 1276 1537 1562 2059 2332 2827 3074 3124 3763 4118 5654 6148 7453 7526 8236 11308 13621 14906 15052 16907 18247 22649 27242 29812 33814 36494 41393 45298 54484 67628 72988 81983 82786 90596 109127 149831 163966 165572 200717 218254 299662 327932 395009 401434 436508 529163 599324 790018 802868 967091 1058326 1200397 1580036 1934182 2116652 2400794 3868364 4345099 4801588 5820793 8690198 10638001 11641586 17380396 21276002 23283172 28045639 42552004 56091278 112182556 308502029 617004058 1234008116