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34202243240 = 23511733313217
BaseRepresentation
bin11111110110100111…
…001101000010101000
310021021121112222101122
4133312213031002220
51030021233240430
623413504434412
72320364161604
oct376647150250
9107247488348
1034202243240
1113561302630
126766318a08
1332c0b77b69
1419265a6504
15d529ecee5
hex7f69cd0a8

34202243240 has 128 divisors (see below), whose sum is σ = 85384609920. Its totient is φ = 12225945600.

The previous prime is 34202243221. The next prime is 34202243267. The reversal of 34202243240 is 4234220243.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10630112 + ... + 10633328.

It is an arithmetic number, because the mean of its divisors is an integer number (667067265).

Almost surely, 234202243240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34202243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42692304960).

34202243240 is an abundant number, since it is smaller than the sum of its proper divisors (51182366680).

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

34202243240 is a wasteful number, since it uses less digits than its factorization.

34202243240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 34202243240 its reverse (4234220243), we get a palindrome (38436463483).

The spelling of 34202243240 in words is "thirty-four billion, two hundred two million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 331 365 440 584 662 730 803 1324 1460 1606 1655 2648 2920 3212 3217 3310 3641 4015 6424 6434 6620 7282 8030 12868 13240 14564 16060 16085 18205 24163 25736 29128 32120 32170 35387 36410 48326 64340 70774 72820 96652 120815 128680 141548 145640 176935 193304 234841 241630 265793 283096 353870 469682 483260 531586 707740 939364 966520 1063172 1064827 1174205 1328965 1415480 1878728 2126344 2129654 2348410 2583251 2657930 4259308 4696820 5166502 5315860 5324135 8518616 9393640 10333004 10631720 10648270 11713097 12916255 20666008 21296540 23426194 25832510 42593080 46852388 51665020 58565485 77732371 93704776 103330040 117130970 155464742 234261940 310929484 388661855 468523880 621858968 777323710 855056081 1554647420 1710112162 3109294840 3420224324 4275280405 6840448648 8550560810 17101121620 34202243240