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34522817004 = 22331388327847
BaseRepresentation
bin100000001001101110…
…000110000111101100
310022002221202210221000
4200021232012013230
51031200320121004
623505355440300
72331336050154
oct401156060754
9108087683830
1034522817004
1113706259425
126835756090
1333423ca290
141956db3764
15d70c22c39
hex809b861ec

34522817004 has 96 divisors (see below), whose sum is σ = 96501117440. Its totient is φ = 10609994304.

The previous prime is 34522816961. The next prime is 34522817009. The reversal of 34522817004 is 40071822543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34522817004.

It is not an unprimeable number, because it can be changed into a prime (34522817009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225809 + ... + 1253655.

Almost surely, 234522817004 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 34522817004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48250558720).

34522817004 is an abundant number, since it is smaller than the sum of its proper divisors (61978300436).

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

34522817004 is a wasteful number, since it uses less digits than its factorization.

34522817004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28756 (or 28748 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 34522817004 in words is "thirty-four billion, five hundred twenty-two million, eight hundred seventeen thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 883 1404 1766 2649 3532 5298 7947 10596 11479 15894 22958 23841 27847 31788 34437 45916 47682 55694 68874 83541 95364 103311 111388 137748 167082 206622 250623 309933 334164 362011 413244 501246 619866 724022 751869 1002492 1086033 1239732 1448044 1503738 2172066 3007476 3258099 4344132 6516198 9774297 13032396 19548594 24588901 39097188 49177802 73766703 98355604 147533406 221300109 295066812 319655713 442600218 639311426 663900327 885200436 958967139 1278622852 1327800654 1917934278 2655601308 2876901417 3835868556 5753802834 8630704251 11507605668 17261408502 34522817004