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34524723640 = 23511539671531
BaseRepresentation
bin100000001001110101…
…010111100110111000
310022010002100200100011
4200021311113212320
51031201312124030
623505504351304
72331361210651
oct401165274670
9108102320304
1034524723640
1113707340960
126836315534
133342917074
14195734c528
15d70e9cb2a
hex809d579b8

34524723640 has 128 divisors (see below), whose sum is σ = 86487160320. Its totient is φ = 12296793600.

The previous prime is 34524723599. The next prime is 34524723691. The reversal of 34524723640 is 4632742543.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34524723593 and 34524723602.

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 31 ways as a sum of consecutive naturals, for example, 22549675 + ... + 22551205.

It is an arithmetic number, because the mean of its divisors is an integer number (675680940).

Almost surely, 234524723640 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 34524723640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243580160).

34524723640 is an abundant number, since it is smaller than the sum of its proper divisors (51962436680).

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

34524723640 is a wasteful number, since it uses less digits than its factorization.

34524723640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

The spelling of 34524723640 in words is "thirty-four billion, five hundred twenty-four million, seven hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 967 1060 1166 1531 1934 2120 2332 2915 3062 3868 4664 4835 5830 6124 7655 7736 9670 10637 11660 12248 15310 16841 19340 21274 23320 30620 33682 38680 42548 51251 53185 61240 67364 81143 84205 85096 102502 106370 134728 162286 168410 205004 212740 256255 324572 336820 405715 410008 425480 512510 563761 649144 673640 811430 892573 1025020 1127522 1480477 1622860 1785146 2050040 2255044 2818805 2960954 3245720 3570292 4462865 4510088 5637610 5921908 7140584 7402385 8925730 11275220 11843816 14804770 16285247 17851460 22550440 29609540 32570494 35702920 59219080 65140988 78465281 81426235 130281976 156930562 162852470 313861124 325704940 392326405 627722248 651409880 784652810 863118091 1569305620 1726236182 3138611240 3452472364 4315590455 6904944728 8631180910 17262361820 34524723640