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3420854164 = 22713194311503
BaseRepresentation
bin1100101111100110…
…0001011110010100
322211101221101201101
43023321201132110
524001214313124
61323240435444
7150525531520
oct31371413624
98741841641
103420854164
1114a5a8a402
127b5778b84
13426947c80
14246478d80
151504c6644
hexcbe61794

3420854164 has 96 divisors (see below), whose sum is σ = 7936839680. Its totient is φ = 1252153728.

The previous prime is 3420854149. The next prime is 3420854179. The reversal of 3420854164 is 4614580243.

It is an interprime number because it is at equal distance from previous prime (3420854149) and next prime (3420854179).

It is a super-2 number, since 2×34208541642 = 23404486422712277792, which contains 22 as substring.

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, 291637 + ... + 303139.

Almost surely, 23420854164 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 3420854164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968419840).

3420854164 is an abundant number, since it is smaller than the sum of its proper divisors (4515985516).

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

3420854164 is a wasteful number, since it uses less digits than its factorization.

3420854164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11589 (or 11587 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 3420854164 is about 58488.0685610322. The cubic root of 3420854164 is about 1506.7626744844.

The spelling of 3420854164 in words is "three billion, four hundred twenty million, eight hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 43 52 76 86 91 133 172 182 247 266 301 364 494 532 559 602 817 988 1118 1204 1634 1729 2236 3268 3458 3913 5719 6916 7826 10621 11438 11503 15652 21242 22876 23006 42484 46012 74347 80521 148694 149539 161042 218557 297388 299078 322084 437114 494629 598156 874228 989258 1046773 1529899 1978516 2093546 2841241 3059798 3462403 4187092 5682482 6119596 6430177 6924806 9397951 11364964 12860354 13849612 18795902 19888687 25720708 37591804 39777374 45011239 65785657 79554748 90022478 122173363 131571314 180044956 244346726 263142628 488693452 855213541 1710427082 3420854164