Search a number
-
+
3400859472 = 243417272377
BaseRepresentation
bin1100101010110100…
…1111111101010000
322210000022120011020
43022231033331100
523431110000342
61321244115440
7150163554123
oct31255177520
98700276136
103400859472
11149577306a
127aab35b80
134227670aa
142439523ba
1514d8770ec
hexcab4ff50

3400859472 has 80 divisors (see below), whose sum is σ = 9016006272. Its totient is φ = 1103984640.

The previous prime is 3400859447. The next prime is 3400859519. The reversal of 3400859472 is 2749580043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429548 + ... + 1431924.

Almost surely, 23400859472 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 3400859472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508003136).

3400859472 is an abundant number, since it is smaller than the sum of its proper divisors (5615146800).

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

3400859472 is a wasteful number, since it uses less digits than its factorization.

3400859472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3400859472 is about 58316.8883943579. Note that the first 3 decimals coincide. The cubic root of 3400859472 is about 1503.8212897852.

The spelling of 3400859472 in words is "three billion, four hundred million, eight hundred fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 727 984 1454 1968 2181 2377 2908 4362 4754 5816 7131 8724 9508 11632 14262 17448 19016 28524 29807 34896 38032 57048 59614 89421 97457 114096 119228 178842 194914 238456 292371 357684 389828 476912 584742 715368 779656 1169484 1430736 1559312 1728079 2338968 3456158 4677936 5184237 6912316 10368474 13824632 20736948 27649264 41473896 70851239 82947792 141702478 212553717 283404956 425107434 566809912 850214868 1133619824 1700429736 3400859472