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34402444464 = 2434328358897
BaseRepresentation
bin100000000010100010…
…111010010010110000
310021210120021020211210
4200002202322102300
51030424011210324
623445415440120
72325344644623
oct400242722260
9107716236753
1034402444464
1113654312793
126801386040
1333234a291b
141944ddbdba
15d65396d29
hex8028ba4b0

34402444464 has 80 divisors (see below), whose sum is σ = 91262686592. Its totient is φ = 11161027584.

The previous prime is 34402444357. The next prime is 34402444469. The reversal of 34402444464 is 46444420443.

It is not an unprimeable number, because it can be changed into a prime (34402444469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554664 + ... + 613560.

Almost surely, 234402444464 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 34402444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45631343296).

34402444464 is an abundant number, since it is smaller than the sum of its proper divisors (56860242128).

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

34402444464 is a wasteful number, since it uses less digits than its factorization.

34402444464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59234 (or 59228 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

The spelling of 34402444464 in words is "thirty-four billion, four hundred two million, four hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 283 344 516 566 688 849 1032 1132 1698 2064 2264 3396 4528 6792 12169 13584 24338 36507 48676 58897 73014 97352 117794 146028 176691 194704 235588 292056 353382 471176 584112 706764 942352 1413528 2532571 2827056 5065142 7597713 10130284 15195426 16667851 20260568 30390852 33335702 40521136 50003553 60781704 66671404 100007106 121563408 133342808 200014212 266685616 400028424 716717593 800056848 1433435186 2150152779 2866870372 4300305558 5733740744 8600611116 11467481488 17201222232 34402444464