Search a number
-
+
370064072 = 2373157859
BaseRepresentation
bin10110000011101…
…011101011001000
3221210100012110202
4112003223223020
51224214022242
6100415431332
712112331000
oct2603535310
9853305422
10370064072
1117a989684
12a3b25548
135b88c831
1437211000
152274d932
hex160ebac8

370064072 has 64 divisors (see below), whose sum is σ = 815280000. Its totient is φ = 157405248.

The previous prime is 370064069. The next prime is 370064087. The reversal of 370064072 is 270460073.

370064072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 430379 + ... + 431237.

It is an arithmetic number, because the mean of its divisors is an integer number (12738750).

Almost surely, 2370064072 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 370064072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407640000).

370064072 is an abundant number, since it is smaller than the sum of its proper divisors (445215928).

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

370064072 is a wasteful number, since it uses less digits than its factorization.

370064072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 370064072 is about 19237.0494619107. The cubic root of 370064072 is about 717.9468721277.

The spelling of 370064072 in words is "three hundred seventy million, sixty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 157 196 314 343 392 628 686 859 1099 1256 1372 1718 2198 2744 3436 4396 6013 6872 7693 8792 12026 15386 24052 30772 42091 48104 53851 61544 84182 107702 134863 168364 215404 269726 294637 336728 430808 539452 589274 944041 1078904 1178548 1888082 2357096 3776164 6608287 7552328 13216574 26433148 46258009 52866296 92516018 185032036 370064072