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31234238790 = 23531831672423
BaseRepresentation
bin11101000101101101…
…001010100101000110
32222121202201201200220
4131011231022211012
51002431431120130
622203202045210
72154004435446
oct350555124506
988552651626
1031234238790
1112278a05997
126078349806
132c39cb6a01
14172432c126
15c2c179410
hex745b4a946

31234238790 has 128 divisors (see below), whose sum is σ = 78814052352. Its totient is φ = 7912383360.

The previous prime is 31234238779. The next prime is 31234238813. The reversal of 31234238790 is 9783243213.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12889519 + ... + 12891941.

It is an arithmetic number, because the mean of its divisors is an integer number (615734784).

Almost surely, 231234238790 is an apocalyptic number.

31234238790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31234238790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39407026176).

31234238790 is an abundant number, since it is smaller than the sum of its proper divisors (47579813562).

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

31234238790 is a wasteful number, since it uses less digits than its factorization.

31234238790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714.

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 31234238790 in words is "thirty-one billion, two hundred thirty-four million, two hundred thirty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 83 93 155 166 167 186 249 310 334 415 465 498 501 830 835 930 1002 1245 1670 2423 2490 2505 2573 4846 5010 5146 5177 7269 7719 10354 12115 12865 13861 14538 15438 15531 24230 25730 25885 27722 31062 36345 38595 41583 51770 69305 72690 75113 77190 77655 83166 138610 150226 155310 201109 207915 225339 375565 402218 404641 415830 429691 450678 603327 751130 809282 859382 1005545 1126695 1206654 1213923 1289073 2011090 2023205 2148455 2253390 2427846 2578146 3016635 4046410 4296910 6033270 6069615 6234379 6445365 12139230 12468758 12543871 12890730 18703137 25087742 31171895 33585203 37406274 37631613 62343790 62719355 67170406 75263226 93515685 100755609 125438710 167926015 187031370 188158065 201511218 335852030 376316130 503778045 1007556090 1041141293 2082282586 3123423879 5205706465 6246847758 10411412930 15617119395 31234238790