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3074179464 = 23321133731013
BaseRepresentation
bin1011011100111100…
…0100000110001000
321221020121111102200
42313033010012020
522243442220324
61225014200200
7136116044226
oct26717040610
97836544380
103074179464
111338326594
12719653060
1339cb87505
142123d5b16
1512ed47ec9
hexb73c4188

3074179464 has 96 divisors (see below), whose sum is σ = 8430416280. Its totient is φ = 1011935232.

The previous prime is 3074179453. The next prime is 3074179487. The reversal of 3074179464 is 4649714703.

It can be written as a sum of positive squares in 4 ways, for example, as 715134564 + 2359044900 = 26742^2 + 48570^2 .

It is a super-4 number, since 4×30741794644 (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3034222 + ... + 3035234.

Almost surely, 23074179464 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 3074179464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215208140).

3074179464 is an abundant number, since it is smaller than the sum of its proper divisors (5356236816).

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

3074179464 is a wasteful number, since it uses less digits than its factorization.

3074179464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3074179464 is about 55445.2835144704. The cubic root of 3074179464 is about 1454.0401732860.

The spelling of 3074179464 in words is "three billion, seventy-four million, one hundred seventy-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 373 452 678 746 904 1013 1017 1119 1356 1492 2026 2034 2238 2712 2984 3039 3357 4052 4068 4476 6078 6714 8104 8136 8952 9117 12156 13428 18234 24312 26856 36468 42149 72936 84298 114469 126447 168596 228938 252894 337192 343407 377849 379341 457876 505788 686814 755698 758682 915752 1011576 1030221 1133547 1373628 1511396 1517364 2060442 2267094 2747256 3022792 3034728 3400641 4120884 4534188 6801282 8241768 9068376 13602564 27205128 42696937 85393874 128090811 170787748 256181622 341575496 384272433 512363244 768544866 1024726488 1537089732 3074179464