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4394774934 = 2331122272963
BaseRepresentation
bin1000001011111001…
…01111000110010110
3102100021112200212000
410011330233012112
533000030244214
62004031140130
7213622653624
oct40574570626
912307480760
104394774934
111955810500
12a27974646
13550653954
142d9958514
151aac55809
hex105f2f196

4394774934 has 96 divisors (see below), whose sum is σ = 10785640320. Its totient is φ = 1325435760.

The previous prime is 4394774911. The next prime is 4394774957.

4394774934 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4394774911) and next prime (4394774957).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 1481737 + ... + 1484699.

It is an arithmetic number, because the mean of its divisors is an integer number (112350420).

Almost surely, 24394774934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4394774934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392820160).

4394774934 is an abundant number, since it is smaller than the sum of its proper divisors (6390865386).

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

4394774934 is a wasteful number, since it uses less digits than its factorization.

4394774934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3206 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 4394774934 is about 66293.0986905877. The cubic root of 4394774934 is about 1637.9936467437.

The spelling of 4394774934 in words is "four billion, three hundred ninety-four million, seven hundred seventy-four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 227 242 297 363 454 594 681 726 1089 1362 2043 2178 2497 2963 3267 4086 4994 5926 6129 6534 7491 8889 12258 14982 17778 22473 26667 27467 32593 44946 53334 54934 65186 67419 80001 82401 97779 134838 160002 164802 195558 247203 293337 358523 494406 586674 672601 717046 741609 880011 1075569 1345202 1483218 1760022 2017803 2151138 3226707 4035606 6053409 6453414 7398611 9680121 12106818 14797222 18160227 19360242 22195833 36320454 44391666 66587499 81384721 133174998 162769442 199762497 244154163 399524994 488308326 732462489 1464924978 2197387467 4394774934