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315491328 = 2103311411
BaseRepresentation
bin10010110011100…
…000010000000000
3210222122121202000
4102303200100000
51121231210303
651150024000
710550426535
oct2263402000
9728577660
10315491328
111520a5339
12897a8000
1350492c79
142dc86d8c
151ca6dda3
hex12ce0400

315491328 has 88 divisors (see below), whose sum is σ = 934414560. Its totient is φ = 105154560.

The previous prime is 315491303. The next prime is 315491339. The reversal of 315491328 is 823194513.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 315491292 and 315491301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21943 + ... + 33353.

Almost surely, 2315491328 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 315491328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467207280).

315491328 is an abundant number, since it is smaller than the sum of its proper divisors (618923232).

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

315491328 is a wasteful number, since it uses less digits than its factorization.

315491328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11416 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 315491328 is about 17762.0755543940. The cubic root of 315491328 is about 680.7627887751.

The spelling of 315491328 in words is "three hundred fifteen million, four hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 11411 13824 22822 27648 34233 45644 68466 91288 102699 136932 182576 205398 273864 308097 365152 410796 547728 616194 730304 821592 1095456 1232388 1460608 1643184 2190912 2464776 2921216 3286368 4381824 4929552 5842432 6572736 8763648 9859104 11684864 13145472 17527296 19718208 26290944 35054592 39436416 52581888 78872832 105163776 157745664 315491328