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34207626640 = 24511831034547
BaseRepresentation
bin11111110110111011…
…101111010110010000
310021021222200111000211
4133312323233112100
51030024123023030
623414220053504
72320461012625
oct376673572620
9107258614024
1034207626640
111356434a220
126768094294
1332c20112c5
1419271a834c
15d5321312a
hex7f6eef590

34207626640 has 160 divisors (see below), whose sum is σ = 88680324096. Its totient is φ = 12167278080.

The previous prime is 34207626589. The next prime is 34207626653. The reversal of 34207626640 is 4662670243.

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 = 34207626593 and 34207626602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7520847 + ... + 7525393.

Almost surely, 234207626640 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 34207626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44340162048).

34207626640 is an abundant number, since it is smaller than the sum of its proper divisors (54472697456).

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

34207626640 is a wasteful number, since it uses less digits than its factorization.

34207626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 34207626640 in words is "thirty-four billion, two hundred seven million, six hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 103 110 166 176 206 220 332 412 415 440 515 664 824 830 880 913 1030 1133 1328 1648 1660 1826 2060 2266 3320 3652 4120 4532 4547 4565 5665 6640 7304 8240 8549 9064 9094 9130 11330 14608 17098 18128 18188 18260 22660 22735 34196 36376 36520 42745 45320 45470 50017 68392 72752 73040 85490 90640 90940 94039 100034 136784 170980 181880 188078 200068 250085 341960 363760 376156 377401 400136 468341 470195 500170 683920 752312 754802 800272 936682 940390 1000340 1504624 1509604 1873364 1880780 1887005 2000680 2341705 3019208 3746728 3761560 3774010 4001360 4151411 4683410 5151751 6038416 7493456 7523120 7548020 8302822 9366820 10303502 15096040 16605644 18733640 20607004 20757055 25758755 30192080 33211288 37467280 38872303 41214008 41514110 51517510 66422576 77744606 82428016 83028220 103035020 155489212 166056440 194361515 206070040 310978424 332112880 388723030 412140080 427595333 621956848 777446060 855190666 1554892120 1710381332 2137976665 3109784240 3420762664 4275953330 6841525328 8551906660 17103813320 34207626640